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Prove that ((cos A + cos B)/( sin A - si...

Prove that `((cos A + cos B)/( sin A - sin B )) ^(n) + ((sin A + sin B )/( cos A - cos B )) ^(n) ={{:(2 cot ^(n) ((A- B)/(2)),"," "if n is even."),(0,",""if n is odd."):}.`

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Prove that (cos A - cos B) ^(2) + (sin A - sin B ) ^(2) = 4 sin ^(2) ((A -B)/( 2 )).

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Prove that a cos A + b cos B + c cos C = 4 R sin A sin B sin C.

Prove that : (sin A - sin B)/ (cos A + cos B) + (cos A - cos B)/ (sin A + sin B) = 0

Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={2cot^n((A-B)/2) ,if n is even, 0 if n is odd,

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
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  2. In a Delta ABC, angle B lt angle C and the values of B and C satisfy t...

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  3. Prove that ((cos A + cos B)/( sin A - sin B )) ^(n) + ((sin A + sin B ...

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