if tan = a/b show that (asin - bcos)/(asin + bcos) = (a2 - b2)/(a2 + b2)
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Answer:
Given;
tan=a/b
=sin/cos=a/b
=sin=a
=cos=b
Now;
(asin-bcos)(asin+bcos)
=(a*a-b*b)(a*a+b*b)
=(a^2-b^2)(a^2+b^2)=RHS
proved.
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