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Prove that : sin x+sin3x+sin5x+sin7x=4co...

Prove that : `sin x+sin3x+sin5x+sin7x=4cos x\ cos2xsin4x`

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RD SHARMA ENGLISH-TRANSFORMATION FORMULAE-All Questions
  1. Prove that: (sin5x+sin3x)/(cos5x+cos3x)=t a n4x

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  2. Prove that cot4x(sin5x+sin3x)=cot x(sin5x-sin3x)

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  3. Prove that : sin x+sin3x+sin5x+sin7x=4cos x\ cos2xsin4x

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  4. Prove that:\ (sin3A+sin A)sin A+(cos3A-cos A)cos A=0

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  5. show that cos2thetacos(theta/2)-cos3thetacos((9theta)/2)=sin5thetasin(...

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  6. Prove that: (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=4cos^2((alpha-be...

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  7. Prove that: (cosalpha-cosbeta)^2+(sinalpha-sinbeta)^2=4sin^2((alpha-be...

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  8. Prove that: cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos((alph...

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  9. Prove that: (cos4x+cos3x+cos2x)/(sin4x+sin3x+sin2x)=cot3x

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  10. Prove that: (cos2A\ cos3A-cos2Acos7A+cos10 A cos A)/(sin4A\ sin3A-sin2...

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  11. If three angles A, B, and C are in A.P. prove that: cot B=(sin A-sin C...

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  12. Prove that: (cos6theta+6cos4theta+15 cos2theta+10)/(cos5theta+5cos3the...

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  13. Express each of the following as the product of sines and cosines: sin...

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  14. Express each of the following as the product of sines or cosines: cos ...

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  15. Express each of the following as the product of sines and cosines: sin...

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  16. Express each of the following as the product of sines and cosines: sin...

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  17. Express each of the following as the product of sines and cosines: cos...

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  18. Prove that: sin38^0+sin 22^0=sin 82^0

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  19. Prove that: \ sin 50^0+sin 10^0=cos 20^0

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  20. Prove that: sin 105^@+cos 105^@=cos 45^@

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