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If α and β are two positive acute angles satisfying α-β=15° and sinα=cos2β find the value of α+β

If α and β are two positive acute angles satisfying α-β=15° and sinα=cos2β find the value of α+β

Grade:11

1 Answers

Vikas TU
14149 Points
4 years ago
Given that sinα=cos2β 
Sin α =sin(pi/2-2β) 
However, α and β are two positive intense points 
So α=pi/2-2 β 
α +2 β =pi/21 
Additionally given that α-β=15°2 
Fathoming 1 and 2 
3β=5pi/12 
Β=5pi/36=25 deg 
α-β=15 
so α=40 deg 

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