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Prove the following: cos^2 2x - cos^2 6x...

Prove the following: `cos^2 2x - cos^2 6x = sin 4x sin 8x`

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JBD PUBLICATION-TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. Prove the following: cos(pi/4-x)cos(pi/4-y)-sin(pi/4-x)sin(pi/4-y)= si...

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  2. Prove the following: sin^2 6x-sin^2 4x = sin 2x sin 10x

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  3. Prove the following: cos^2 2x - cos^2 6x = sin 4x sin 8x

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  4. Show that: tan5x-tan3x-tan2x=tan5xtan3xtan2x

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  5. If A+B=45^(@), then shown that (1+tanA)(1+tanB)=2.

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  6. Prove that tan2x=(2tanx)/(1-tan^2 x)

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  7. Prove that:(sin2x)/(1+cos2x)=tanx

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  8. Show tha: cos4A=1-8cos^2A+8cos^4A.

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  9. Show tha: cos6A=32cos^6A-48cos^4A+18cos^2A-1

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  10. Prove the following: (sin5x + sin 3x)/(cos5x + cos3x)=tan4x

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  11. Prove the following:sin(150^@+x)+sin(150^@-x)=cosx

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  12. Prove that sin51^(@)+cos81^(@)=cos21^(@) .

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  13. Show that: sn10^@+sin20^@+sin40^@+sin50^@=sin70^@+sin80^@

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  14. Find the principal solutions (0 le x le 2pi) of the following euqtions...

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  15. Find the principal solutions (0 le x le 2pi) of the following euqtions...

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  16. Find the principal and general solutions of the following equation:- t...

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  17. Find the principal and general solutions of the following equation:- s...

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

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  19. Find the general solutions of the equations sinx+sin3x+sin5x=0.

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

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