1. What is the simplified value of 1 + tan A tan (A/2) ?
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By: anil on 05 May 2019 01.48 am
1 + tan A tan (A/2) =$$1+frac{2tan(A/2)}{1-tan^{2}(A/2)} imes tan(A/2)$$ =$$frac{1-tan^{2}(A/2)+2tan^{2}(A/2)}{1-tan^{2}(A/2)}$$ =$$frac{1+tan^{2}(A/2)}{1-tan^{2}(A/2)}$$ =$$sec2(A/2)=secA$$ so the answer is option C.
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