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Find the measure, in degrees, of the smallest positive angle $\theta$ for which $\sin 3 \theta = \cos 17 \theta$.

 Jun 2, 2021
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sin 3θ   =  cos 17θ

 

Since  sine  and  cosine  are co-functions we  can solve  this

 

3θ  + 17θ  =  90

 

20θ   =  90

 

θ = 90 /20   =   9/2  =  4.5°

 

 

cool cool cool

 Jun 2, 2021

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