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

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

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L.H.S. .=(2 cos ((x+y)/(2)) sin ((dot(x)-y)/(2)))/(2 cos ((x+y)/(2)) cos ((x-y)/(2)))=tan ((x-y)/(2))=. R.H.S
L.H.S. .=R . H.S.
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V PUBLICATION-TRIGNOMETRC FUNCTIONS-QUESTION BANK
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  2. Prove that (sin 5 x+sin 3 x)/(cos 5 x+cos 3 x)=tan 4 x

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

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

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

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  6. 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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  7. Prove that cot x cot 2 x-cot 2 x cot 3 x-cot 3 x cot x=1

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

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

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

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

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

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

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

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

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  19. Find the principal and general solutions of the following equations ...

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