Find the exact value of each trigonometric function. Find the exact value of each trigonometric function.311) sin2) cos 210°5n3) cos44) sin

1) Given: sin3π4 Use the following identity: sinx=cosπ2-x…

Answered: 3n 1) sin 2) сos 210° 5n 3) cos 4) sin…

Math

Geometry

3n 1) sin 2) сos 210° 5n 3) cos 4) sin 4.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Analytic Trigonometry

Section2.1: Using Fundamental Identities

Problem 1ECP: Use the conditions tanx=13 and cosx0 to find the values of all six trigonometric functions.

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Question

Find the exact value of each trigonometric function.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

Expert Solution

Step 1

1) Given:

$\sin \frac{3 π}{4}$

Use the following identity:

$\sin (x) = \cos (\frac{π}{2} - x)$

$\sin \frac{3 π}{4} = \cos (\frac{π}{2} - \frac{3 π}{4})$

$= \cos (- \frac{π}{4})$

use the following identity: $\cos (- x) = \cos (x)$

$= \cos \frac{π}{4}$

$= \frac{1}{\sqrt{2}}$

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