Question

Find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of -1. Show your work for full credit.

Answer 1

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Answer 2

notice the angle
notice the the "x" value

use SOH CAH TOA \(\bf sin(\theta)=\cfrac{y}{r}

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% cosine
cos(\theta)=\cfrac{x}{r}

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% tangent
tan(\theta)=\cfrac{y}{x}\implies tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{-1}\implies -1\cdot tan\left( -\frac{3\pi }{4} \right)=y\)