Math, asked by gy85332, 1 year ago

Find acute angles A and B if sin (A + 2B) = root under 3/2 and cos (A+ 4B) =0° where A>B

Answers

Answered by ankitrishab
5
Sin(A+2B)=√3/2
sin(A+2B)=sin60 {sin60=√3/2}
on comparing---
A+2B=60---eq.1

cos(A+4B)=0
cos(A+4B)=cos90 {cos90=0}
on comparing ---
A+4B=90----eq. 2


on subtracting eq.1 by eq.2
A+4B-A-2B=90-60
2B=30
B=15°

put in eq.1
A=30°

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