Algebra and Trigonometry Enhanced with Graphing Utilities (7th Edition)

Chapter 9

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Apply the odd-even identities for sine and cosine.... more

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identity ; If the solution set of is the same as ... more

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; Apply the Pythagorean identity to the second ... more

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0 ; Since the cosine function is an even function... more

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Since , substitute for Thus, the equation is true... more

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To establish an identity, begin with one side of ... more

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The basic tangent function is undefined for ... more

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The given equation is the Pythagorean identity ... more

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The expression is not equivalent to as shown ... more

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; Apply the quotient identity for and the ... more

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; Apply the quotient identity for and the ... more

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; Find the product. Start by multiplying the ... more

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; Find the product. Start by multiplying the ... more

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; Write the fractions as a single fraction. The ... more

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; Write the fractions as a single fraction. The ... more

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2 ; Expand the numerator. Apply the FOIL method to... more

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2 ; Expand the numerator. Apply the FOIL method to... more

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; Factor the given rational expression. Let . The... more

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; Factor the given rational expression. Let . The... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the right side is equal to the left side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the right side is equal to the left side... more

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Show that the right side is equal to the left side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the right side is equal to the left side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that ; Show that Apply the quotient identity ... more

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Show that ; Start by applying the quotient ... more

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Show that ; Show that is equal to Start by adding... more

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Show that ; Show that is equal to Apply the ... more

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Show that the left side is equal to the right side... more

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Show that the left side is equal to the right side... more

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Show that the two formulas are equivalent. ; Show ... more

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Show that the two formulas are equivalent. ; Show ... more

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The following are strategies that can help ... more

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; The Pythagorean identities were derived using ... more

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It is better to start with the more complex side ... more

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; Establish the identity. Rewrite the numerator. ... more

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has a maximum value1250 at ; The given function ... more

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; Evaluate . Substitute for in . ; Factor the ... more

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; Start by drawing the angle where its terminal ... more

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; The average rate of change is the ratio of the ... more

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5 ; Let and Substitute the coordinates into the ... more

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; The sine function is the ratio of the side ... more

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; Given that the value of is between and , the ... more

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; Given two angles and , the sum formula for ... more

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; Given two angles and , the difference formula ... more

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The sum formula for sine is given by . Since the ... more

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Using the sum formula for tangent, evaluate the ... more

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Use the difference formula for cosine to determine... more

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Rewrite the given equation using the given ... more

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The sum formula for tangent is given by . The ... more

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The given expression follows the sum formula for ... more

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; Use the reference angle of to find the value ... more

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; Write the angle as a sum of two special angles... more

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; Write the angle as a difference of two special ... more

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; Use the reference angle of to find the value ... more

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; Write the angle as a sum of two special angles... more

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; Write the angle as a difference of two special ... more

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; Write the angle as a sum of two special angles... more

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; Write the angle as a sum of two special angles... more

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; Use the reference angle of to find the value ... more

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; Use the reference angle of to find the value ... more

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; Rewrite the given function using the identity... more

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; Rewrite the given function using the identity... more

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; Compare the given expression with the sum and ... more

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; Compare the given expression with the sum and ... more

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0 ; Compare the given expression with the sum and ... more

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; Compare the given expression with the sum and ... more

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1 ; Compare the given expression with the sum and ... more

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; Compare the given expression with the sum and ... more

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; Compare the given expression with the sum and ... more

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; Compare the given expression with the sum and ... more

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; Compare the given expression with the sum and ... more

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; Compare the given expression with the sum and ... more

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