n sin A cos A If tanB = 1-ncos2 A t...
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n sin A cos A If tanB = 1-ncos2 A then tan(A+B) equalConwelcolean the athly formula sin A (A) (1-n)cos A (B) (N-1) Cos A sin A (C)(n-1) cos A sin A (D) (n+1) cos A sin A

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Maths
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( begin{aligned} tan (A+B)=& frac{tan A+tan B}{1-tan A tan B} =& frac{sin A}{cos A+frac{n sin A cos A}{1-n cos ^{2} A}} =& frac{sin A}{cos A frac{n sin A cos A}{1-n cos ^{2} A}} =& frac{sin A(1-n cos A)+n cos ^{2} A sin A}{cos Aleft(1-n cos ^{2} Aright)-n sin ^{2} A cos A} =& frac{sin A}{cos Aleft[1-nleft(sin ^{2} A+cos ^{2} Aright]right.} =& frac{sin A}{cos A[1-n]} end{aligned} )
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