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Prove that (cos 9 x-cos 5 x)/(sin 17 x...

Prove that
`(cos 9 x-cos 5 x)/(sin 17 x-sin 3 x)=-(sin 2 x)/(cos 10 x)`

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V PUBLICATION-TRIGNOMETRC FUNCTIONS-QUESTION BANK
  1. Prove that sin 2 x+2 sin 4 x+sin 6 x=4 cos ^(2) x sin 4 x

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  2. Prove that cot 4 x(sin 5 x+sin 3 x)=cot x(sin 5 x-sin 3 x)

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  3. Prove that (cos 9 x-cos 5 x)/(sin 17 x-sin 3 x)=-(sin 2 x)/(cos 10 x...

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

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  5. Prove that (sinx-siny)/(cosx+cosy)=tan(x-y)/2

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  6. Prove that (sin x+sin 3 x)/(cos x+cos 3 x)=tan 2 x

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  7. Prove that (sin x-sin 3 x)/(sin ^(2) x-cos ^(2) x)=2 sin x

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  8. Prove that (cos 4 x+cos 3 x+cos 2 x)/(sin 4 x+sin 3 x+sin 2 x)=cot 3 x...

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  9. Prove that cot x cot 2 x-cot 2 x cot 3 x-cot 3 x cot x=1

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  10. Prove that tan4x=(4tanx(1-tan^2x))/(1-6tan^2x+tan^4x)

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  11. Prove that cos 4(x)=1-8 sin ^(2) (x) cos ^(2) (x)

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  12. Prove that cos 6 x=32 cos ^(6) x-48 cos ^(4) x+18 cos ^(2) x-1

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  13. Find the principle and general solutions of sin x =-sqrt3/2

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  14. Find the principle and general solutions of sin x =-sqrt3/2

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  15. Find the principal and general solution of cos x = 1/2

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  16. Solve tan 2 x=-cot (x+(pi)/(3))

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  17. Solve: sin 2x-sin 4x+sin 6x =0

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  18. Solve 2 cos ^(2) x+3 sin x=0

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  19. Find the principle and general solution of the following. tan x = s...

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  20. Find the principal and general solutions of the following equations s...

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