   Chapter 8.2, Problem 84E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Using the Value of a Trigonometric Function In Exercises 83 and 84, use the value of the trigonometric function to evaluate the indicated functions. cos   t = − 1 7 (a) cos ( π − t ) (b) cos ( t + π )

(a)

To determine

To calculate: The value of the trigonometric function cos(πt) when cost=17.

Explanation

Given Information:

The value of cost is 17.

Formula used:

Sum and Differences formulas:

cos(θ±ϕ)=cosθcosϕsinθsinϕ

Calculation:

Consider trigonometric function is,

cos(πt)

Apply difference formulas in the above function as,

cos(πt)=cosπcost+sinπsint

Substitute the value of sinπ=0,

(b)

To determine

To calculate: The value of the trigonometric function cos(t+π) when cost=17.

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