Prove that -cosA-cosB-sinA-sinB- - sinA-sinB-cosA-cosB- - 2cot-A-B-2- - if n is even- 0 - if n odd

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Implicit Differentiation

prove that , ...

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prove that , {cosA+cosB/sinA-sinB}ⁿ + {sinA+sinB/cosA-cosB}ⁿ = {2cotⁿ(A-B/2) , if n is even { 0 , if n 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}

= 2 {cot}^{n} (\frac{A - B}{2})

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= 0

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\frac{cos A + cos B}{sin A - sin B} = cot \frac{A - B}{2}

if cosA+sinB=m and sinA+cosB=n, prove that 2sin(A+B)=m²+n²-2

\frac{sin A - sin B}{cos A + cos B} + \frac{cos A - cos B}{sin A + sin B} = 0

{(\frac{cos A + cos B}{sin A - sin B})}^{n} + {(\frac{sin A + sin B}{cos A - cos B})}^{n} = 2 {cot}^{n} (\frac{A - B}{2})

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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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