   Chapter 8.2, Problem 83E ### 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. sin   t = 2 3 (a) sin   ( π − t ) (b) sin   ( t + π )

(a)

To determine

To calculate: The value of the trigonometric function sin(πt) when sint=23.

Explanation

Given Information:

The value of sint is 23.

Formula used:

Sum and Differences formulas:

sin(θ±ϕ)=sinθcosϕ±cosθsinϕ

Calculation:

Consider trigonometric function is sin(πt).

Apply difference formulas in the above function as,

sin(πt)=sinπcostcosπsint

Substitute the value of sinπ=0, cosπ=

(b)

To determine

To calculate: The value of the trigonometric function sin(t+π) when sint=23.

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