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

Algebra ->  Trigonometry-basics -> 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      Log On


   

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) About Me  (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,
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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
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cos(θ +π)= -cos(theta) = -0.9924
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tan(−θ)= sin(-theta)/cos(-theta)
= -sin(theta)/cos(theta) = 0.1234/0.9924
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Cheers,
Stan H.
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