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Q 6.

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Precalculus Mathematics for Calculus
Found in: Page 542
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

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Short Answer

Simplifying Trigonometric Expressions-

Write the trigonometric expression tanθcscθ in terms of sine and cosine, and then simplify.

On simplifying expression we get 1cosθ

See the step by step solution

Step by Step Solution

Step 1. Given information

A trigonometric expression as tanθcscθ

Step 2. Concept used

Write the expression in sine and cosine terms first. Then, to reduce it further, apply trigonometric identities.

Step 3. Calculation

Now, write tanθsecθ in form of sineandcosine:

tanθ=sinθcosθcscθ=1sinθtanθcscθ=sinθcosθ×1sinθ=1cosθ

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