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Let theta be an acute angle such that sin 5 theta = sin theta.

Compute tan 2 theta.

 
 Aug 5, 2022
 #1
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Since the sine of   a reference angle in the  1st quadrant = the sine of the  same  reference angle in the  second quadrant....we have that.....

 

(180   - 5theta) =  theta

 

180  =  6 theta

 

180 / 6  =  theta =   30°

 

tan  (2 theta)  =  tan (60°) =     sqrt (3)

 

 

cool cool cool

 
 Aug 5, 2022

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