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prove the following (sin 5x+sinx-2sin...

prove the following
`(sin 5x+sinx-2sin3x)/(cos5x-cosx) = tanx`

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MAXIMUM PUBLICATION-TRIGONOMETRIC FUNCTIONS-EXAMPLE
  1. Find the principle and general solution of the following. cosec x =...

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  2. prove the following cos(pi/4+x)+cos(pi/4-x) = sqrt2cosx

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  3. prove the following (sin 5x+sinx-2sin3x)/(cos5x-cosx) = tanx

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  4. prove the following sin2x+2sin4x+sin6x=4cos^2xsin4x

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  5. prove the following (sinx-sin3x)/(sin^2x-cos^2x)=2sinx

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  6. prove the following (cos2x)/(1+sin2x) = tan(pi/4-x)

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  7. prove the following (sin3x)/(1+2cos2x)=sinx

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  8. prove the following sin^2 6x-sin^2 4x =sin2xsin10x

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  9. prove the following (cos4x+cos3x+cos2x)/(sin4x+sin3x+sin2x)=cot3x

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  10. Find the general solution of the following equations cos 4x = cos 2x

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  11. Find the general solution of the following equations sin 2x+ cos x =...

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  12. Find the general solution of the following equations cos 3x+cos x-co...

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  13. In Triangle ABC, if a=25, b=52 and c=63, find cos A and sin A.

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  14. For any DeltaABC, prove that a(b cos C -c cos B) = b^2 - c^2

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  15. For any DeltaABC, prove that (sin(B-C))/(sin(B+C))=(b^2-c^2)/(a^2)

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  16. convert 2pi/3 radian measure into degree measure.

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  17. Prove that (sin 5x+sin3x)/(cos 5x+cos3x)=tan4x

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  18. For any DeltaABC, prove that (a+b)/c=cos((A-B)/2)/sin(c/2)

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  19. For any DeltaABC, prove that sin ((B-C)/2)=(b-c)/a cos (A/2)

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  20. Which of the following is not possible. sin x= 1/2

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