Cos A -cos B -sin A -sin B n -sin A -sin B -cos A -cos B n n even or odd -A- 2 tan nA-B-2B- 2 nA-B-2C- 0D- None of these

The correct options are B C The expression reduces to cot^n A B/2+cot^nB A/2 If n is even, answer is (b) and if n is odd answer is (c). ...

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Sum of Trigonometric Ratios in Terms of Their Product

cos A +cos B ...

Question

${(\frac{c o s A + c o s B}{s i n A - s i n B})}^{n} + {(\frac{s i n A + s i n B}{c o s A - c o s B})}^{n}$ (n even or odd)=

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{(\frac{cos A + cos B}{sin A - sin B})}^{n} + {(\frac{sin A + sin B}{cos A - cos B})}^{n} =

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