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Q.9

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Precalculus Enhanced with Graphing Utilities
Found in: Page 473
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

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Short Answer

Rewrite in terms of sine and cosine functions: tanθcscθ

In terms of sine and cosine function we get,

1cosθ

See the step by step solution

Step by Step Solution

Step 1: Given information

We are given an trigonometric function as tanθcscθ

Step 2: We use trigonometric formulastan(θ)=sinθcosθcscθ=1sinθ

We get,

tanθcscθ=sin(θ)cos(θ)1sin(θ)=1cos(θ)=secθ

Step 3: Conclusion

The function in terms of sine and cosine can be given as 1cosθ

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