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Prove that (frac{cosA+cosB}{sinA-sinB})^...

Prove that `(frac{cosA+cosB}{sinA-sinB})^n+(frac{sinA+sinB}{cosA-cosB})^n=2cot^nfrac{A-B}{2}` or zero according as n is even or odd.

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MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
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  3. Prove that (frac{cosA+cosB}{sinA-sinB})^n+(frac{sinA+sinB}{cosA-cosB})...

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  10. If tanbeta=(n^2sinalpha cdot cosalpha)/(1-n^2sin^2alpha) then show th...

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  11. If 2tanalpha=3tanbeta, then prove that then show that tan(alpha-bet...

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  12. If alpha,beta are acute angles and cos2alpha=(3cos2beta-1)/(3-cos2be...

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  17. If A+B+C=pi, then prove the following. cos^2A+cos^2B+2cosA cdot cosB...

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  20. If A+B+C=pi, then prove the following. cos^2frac{A}{2}+cos^2frac{B}{...

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