11 and sin 0 < 0, find cos 0 and sin 0. 60 64. Given cot 0

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Analytic Trigonometry
Section2.4: Sum And Difference Formulas
Problem 3ECP: Find the exact value of cosu+v given sinu=1213, where 0u2 and cosv=35, where 2v.
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How do I solve for 64?

11
and sin 0 < 0, find cos 0 and sin 0.
60
64. Given cot 0
Transcribed Image Text:11 and sin 0 < 0, find cos 0 and sin 0. 60 64. Given cot 0
Expert Solution
Step 1

The value of cotangent is given as cot θ = 11/60.

It is also given that sin θ < 0.

Rewrite the given value as follows.

Trigonometry homework question answer, step 1, image 1

Step 2

It is known that cot θ = Adjacent / Opposite.

So, here Adjacent is –11 and Opposite is –60.

Use the Pythagorean Theorem and evaluate Hypotenuse as follows.

Trigonometry homework question answer, step 2, image 1

Therefore, the length of the Hypotenuse is 61.

 

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