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prove that ((cosA+cosB)/(sinA-sinB))^n+(...

prove that `((cosA+cosB)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n=2cot^n((A-B)/2)` , `n` is even

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MODERN PUBLICATION-TRIGONOMETRY-FREQUENTLY ASKED QUESTIONS
  1. (cosalpha+cosbeta)^2+(sinalpha-sinbeta)^2=4cos^2(alpha+beta)/2

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  2. If "sin" theta+"sin" phi=sqrt3(cos phi-cos theta),prove that: "sin"...

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  3. prove that ((cosA+cosB)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n=2co...

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  4. If sin x+"sin" y=a and cos x+cos y=b, find the values of: (i) "tan...

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  6. (sin 5x + sin 3x)/(cos 5x + cos 3x) = tan 4x

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  7. Prove that n( " cos " 4x + " cos " 3x + " cos " 2x)/(" sin " 4x +...

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  8. (( sin 7x + sin 5x)+(sin 9x + sin 3x))/((cos 7x + cos 5x)+(cos 9x+ cos...

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  9. Prove that cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos((alpha...

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  10. If s intheta=n"sin"(theta+2alpha) , prove that tan(theta+alpha)=(1+n)/...

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  11. If alpha+beta+90^0 , find the maximum and minimum values of s inalphas...

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  12. Prove that (tan 5theta + tan 3theta)/(tan 5theta - tan 3theta) = 4 c...

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  13. Find "sin" 2theta when "sin" theta+cos theta=1.

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  15. Prove that (i) (sec 8A -1)/(sec 4A -1) =(tan 8A)/(tan 2A) (ii) (c...

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  16. If tan (alpha-beta)=(sin 2beta)(3-cos 2beta), then

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  17. Prove that: cos A cos 2A cos 2^(2)A cos 2^(3)A….....cos 2^(n-1)A=("sin...

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  18. If "sin"A=(1)/(2)(x+(1)/(x)),prove that: "sin" 3A+(1)/(2)(x^(3)+(1)...

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  19. Prove that: cos^(2)pi/8 + cos^(2)(3pi)/(8) + cos^(2)(5pi)/(8)+ cos^(...

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  20. Prove that: cos 6x=32 cos^(6)x-48 cos^(4)x+18 cos^(4)x+18 cos^(2)x...

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