Barnett Cover Precalculus Functions and Graphs 4/e   Barnett/Ziegler/Byleen
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Chapter 6: Trigonometric Identities and Conditional Equations

Worked Exercises

Chapter 6: Trigonometric Identities and Conditional Equations




Exercise Set 6-1


Verify that the expression is an identity.

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Exercise Set 6-2


Use the appropriate identity to find the exact value for the expression. Do not use a calculator.

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Find sin (x - y) and tan (x + y) exactly without a calculator using the information given.

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Verify the identity.

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Evaluate exactly as a real number without the use of a calculator.

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Exercise Set 6-3


Verify the identity.

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Comute the exact values of sin 2x cos 2x, and tan 2x using the information given, and appropriate id../../student/olc/graphics/entities. Do not use a calculator.

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Verify the identity.

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Exercise Set 6-4


Evaluate the expression exactly using an appropriate identity.

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Use sum and difference id../../student/olc/graphics/entities to verify the identity.

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Verify the identity.

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Exercise Set 6-5


Find an exact solution over the indicated intervals, x a real number, theta in degrees.

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Find an exact solution for x real and theta in degrees.

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Find an exact solution. [Hint: Square both sides at an appropriate point, solve, then eliminate extraneous solutions at the end.]

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