1. If sin (A - B) = $$\frac{1}{2}$$ and cos (A + B) = $$\frac{1}{2}$$ where A > B > 0 and A + B is an acute angle, then the value B is
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By: anil on 05 May 2019 02.58 pm
sin(A-B) = 1/2 $$Rightarrow$$ A-B = $$frac{pi}{6}$$ -------(1) cos(A+B) = 1/2 $$Rightarrow$$ A+B = $$frac{pi}{3}$$ -------(2) on solving (1) & (2) A = $$frac{pi}{4}$$ B = $$frac{pi}{12}$$ so the answer is option C.
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