SOLUTION: tan β = 2, 180° < β < 270°. Find the exact value of sin 2β and cos 2β
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Question 867728: tan β = 2, 180° < β < 270°. Find the exact value of sin 2β and cos 2β
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
tan β = 2, 180° < β < 270°. Find the exact value of sin 2β and cos 2β
hypotenuse of reference right triangle=
..
Calculator check:
tan(B)=2
B=243.435(in quadrant III)
2B≈486.87(in quadrant II)
sin(2B)=sin(486.87)≈0.7999…
Exact value as calculated=4/5=0.8000
cos(2B)=cos(486.87≈-0.6000…
Exact value as calculated=-3/5=-0.6000
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