Math, asked by rajsahir001, 4 months ago

sin thita + sin 2 thita + sin 4 thita + sin 5 thita ÷ cost thita + cos 2 thita + cos 4 thita + cos 5 thita​

Answers

Answered by SrijanShrivastava
1

 \frac{   ( \sin(2  \theta) +  \sin(4 \theta)) + ( \sin(\theta) +  \sin(5\theta)  )  }{(  \cos(2\theta) +  \cos(4\theta)  ) + (  \cos(\theta)  + \cos(5\theta)  )}

 =  \frac{2 \sin(3 \theta) \cos( \theta)  + 2 \sin(3\theta)   \cos(2\theta)  }{2 \cos(3 \theta) \cos( \theta)  + 2 \cos(3 \theta) \cos(2 \theta)   }

 =  \tan(3\theta  )

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