SOLUTION: Find the exact value of sine two theta given cosine of theta = 1 over 6 and theta is between 0 degrees and 90 degrees..

Question 945485: Find the exact value of sine two theta given cosine of theta = 1 over 6 and theta is between 0 degrees and 90 degrees..
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the exact value of sine two theta given cosine of theta = 1 over 6 and theta is between 0 degrees and 90 degrees.
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cosx=1/6 (Q1)
sinx=√(1-cos^2(x))=√(1-(1/36))=√(35/36)=√35/6
sin2x=2sinxcosx=2*(1/6)(√35/6)=2√35/36
..
check:
cosx=1/6
x≈80.4059
2x=160.81˚
sin(2x)=sin(160.81˚)≈0.3287
exact value as computed=2√35/36≈0.3287
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