Question

If cos(a-b) =square root3/2 and sin(a+b)=square root 3/2 find a and b where(a+b) and ( a-b) are acute equal

Answer 1

cos(a-b) = root(3)/2 = cos30
sin(a+b) = root(3)/2 = sin60
a-b= 30
a+b= 60
Solve these 2 equations
a=45
b=15

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