SOLUTION: Please help me solve this question If alpha and beta are 2 positive acute angles satisfying alpha - beta = 15 degree and sin alpha = cos 2 beta then find value of alpha + beta

Question 1036529: Please help me solve this question
If alpha and beta are 2 positive acute angles satisfying alpha - beta = 15 degree and sin alpha = cos 2 beta then find value of alpha + beta
Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
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Please help me solve this question
If alpha and beta are 2 positive acute angles satisfying alpha - beta = 15 degree and sin alpha = cos 2 beta then find value of alpha + beta
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If  = , then

 = .

Due to constrains imposed on  and , it implies that

 = ,   or

 = .    (1)

From the condition, we also have the second equation 

 = .      (2)     (  = 15 degs)

Distract equation (2) from (1) (both sides). You will get

 =  = .

Hence,  =  =  = 5*5 = 25 degs.

Then  =  =  =  =  =  = 40 degs.

Answer.   =  = 40 degs;   =  = 25 degs.

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