Question

A unit circle has angle θ

in standard position. Point P is on the unit circle at the coordinates ( 2√2, 2√2)
.

What is the angle in degrees?

Answer 1

`P=(\stackrel{\stackrel{x}{adjacent}}{2√(2)}~~,~~\stackrel{\stackrel{y}{opposite}}{2√(2)}) \\\\\\ tan(\theta )=\cfrac{\stackrel{opposite}{2√(2)}}{\underset{adjacent}{2√(2)}}\implies \theta =tan^(-1)\left( \cfrac{2√(2)}{2√(2)} \right)\implies \theta =tan^(-1)(1)\implies \theta =45^o`

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