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Precalculus Mathematics for Calculus
Found in: Page 551
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

Use an Addition or

Subtraction Formula to write the expression as a trigonometric

the function of one number, and then find its exact value.


The exact value of this equation is 33.

See the step by step solution

Step by Step Solution

Step 1. Given information.

The given function is tanπ18+tanπ91tanπ18tanπ9

Use an addition or subtraction Formula to write the expression.

Then appraise the expression to obtain the final answer.

Step 2. Determining the value.

The expression can be expressed as the tangent of the sum of the angles π18 and π9 because according to the addition formula for tangents,

tan(α+β)=tanα+tanβ1tanαtanβ where α=π18 and β=π9

Now, tanπ6=33

tanπ18+tanπ91tanπ18tanπ9=tanπ18+π9 =tanπ6=33

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