HELP!!!!!ASAP!!!!!! A right triangle in which one acute angle is a reference angle for a 115° angle in standard position intersects the unit circle at (−0.423,0.906) . What is t…

Question

asked Nov 10, 2020 124k views

1 Answer

Hackonteur · Answer 1 · 2020-11-15T22:06:50+0000

Answer:

$\sin( 115 \degree) = 0.906$

Explanation:

The general point on a unit circle is given by

$x = \cos( \theta)$

$y = \sin( \theta)$

where

$\theta = 115 \degree$

is the terminal side of the angle in standard position.

Therefore

$x = \cos( 115 \degree)$

$y = \sin(115 \degree)$

lies on this circle

This angle intersects the unit circle at

( - 0.423,0.906)

Hence we must have

$\cos( 115 \degree) = - 0.463$

$\sin( 115 \degree) = 0.906$