SOLUTION: Given that sin(θ) = −0.1234, and that θ is an angle in the fourth quadrant,
use reference angles to find the following:
cos(θ)=
sin(π−θ
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Question 833612: Given that sin(θ) = −0.1234, and that θ is an angle in the fourth quadrant,
use reference angles to find the following:
cos(θ)=
sin(π−θ)=
cos(θ +π)=
tan(−θ)=
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given that sin(θ) = −0.1234, and that θ is an angle in the fourth quadrant,
-------
theta = -arcsin(-0.1234) = 6.1595
use reference angles to find the following:
Reference angle = 0.1237
cos(θ) = sin((pi/2)-0.1237) = 0.9924
------------------------
sin(π−θ)= sin(theta) = -0.1234
--------------------------
cos(θ +π)= -cos(theta) = -0.9924
---------------------------
tan(−θ)= sin(-theta)/cos(-theta)
= -sin(theta)/cos(theta) = 0.1234/0.9924
==============================
Cheers,
Stan H.
==============================
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