Given that cos(θ)=−2√13/13, and θ is in Quadrant II, what is sin(θ)?

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter1: Trigonometry
Section1.4: Trigonometric Functions Of Any Angle
Problem 2ECP: Given sin =45 and tan 0, find cos and tan .
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Given that cos(θ)=−2√13/13, and θ is in Quadrant II, what is sin(θ)?

Expert Solution
Step 1

Given that : cos(theta)= -2√13/13.

And theta is in Quadrant second we find what is the value of sin(theta).

We know that general trigonometry identity is -

sin2(theta) + cos2(theta) = 1.

 

 

 

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