Find Exact Values of Cosθ, Cscθ & Tanθ | Point (-3,2)

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SUMMARY

The discussion focuses on finding the exact values of cosθ, cscθ, and tanθ for the point (-3, 2) on the terminal side of the angle θ. The values are derived using the definitions of trigonometric functions based on the coordinates of the point. Specifically, cosθ is calculated as the ratio of the adjacent side to the hypotenuse, cscθ as the reciprocal of sinθ, and tanθ as the ratio of the opposite side to the adjacent side. The calculations yield cosθ = -3/√13, cscθ = √13/2, and tanθ = -2/3.

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Let (-3, 2) be a point on the terminal side of θ. Find exact values of cosθ, cscθ, and tanθ?

Can anyone help!?
 
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Hi sphrrson,

Welcome to MHB! :)

Can you show us what you've tried? How do we find the value of something like $\sin(\theta)$ if we know the legs of the triangle? What would this triangle look like?
 

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