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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 the approximate value of
sin115°≈

User Ajeetkumar
by
7.3k points

1 Answer

5 votes

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

User Hackonteur
by
7.8k points
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