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Prove the following: cot x cot 2x -cot 2...

Prove the following: `cot x cot 2x -cot 2x cot 3x -cot 3x cot x = 1`

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Prove the following : (cos 7x + cos 5x)/(sin 7x-sin 5x) =cot x .

Prove the following: cot 4x (sin 5x + sin 3x) = cot x (sin 5x -sin 3x)

If A + B + C =180^@ , prove that : cot B cot C + cot C cot A + cot A cot B = 1 .

Prove that : cot 2A= (cot^2 A-1)/(2 cot A) .

Prove that the following functions are continuous: cot x

Find the roots of the equation cot x - cos x=1-cot x cos x

Prove the following identity : (1 - tan x)^2+(1 -cot x)^2 = (sec x -cosec x)^2 .

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If A + B + C =pi/2 , prove that : cot A + cot B + cot C = cot A cot B cot C .

PSEB-TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Prove the following: (sin x -sin 3x)/(sin^2 x -cos^2 x)= 2sinx

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  2. Prove the following: (cos4x + cos3x + cos2x)/(sin4x + sin 3x + sin 2x)...

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  3. Prove the following: cot x cot 2x -cot 2x cot 3x -cot 3x cot x = 1

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  4. Prove the following: tan 4x =(4tan x (1-tan^2x))/(1-6 tan^2x + tan^4x)

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  5. Prove the following: cos 4x = 1 - 8sin^2 x cos^2 x

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  6. Prove the following: cos 6x = 32 cos^6 x -48cos^4 x + 18 cos^2 x - 1

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

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

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  9. Find the principal and general solutions of the following equation:- c...

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  10. Find the principal and general solutions of the following equation:- c...

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

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  12. Find the general solution of the following equations: cos 3x + cosx- c...

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  13. Find the general solution of the following equations: sin 2x + cosx = ...

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  14. Find the general solution of the following equations: sec^2 2x = 1- ta...

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  15. Find the general solution of the following equations: sin x + sin 3x +...

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  16. Prove that: 2cos frac (pi)(13)cos frac (9pi)(13)+cos frac (3pi)(13)+co...

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  17. Prove that: (sin 3x + sin x) sin x + (cos 3x -cos x) cos x = 0

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  18. Prove that: (cos x + cos y)^2 + (sin x -sin y)^2 = 4 cos^2frac (x+y)(2...

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  19. Prove that: (cosx-cosy)^2 +(sinx-siny)^2=4 sin^2frac (x-y)(2)

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  20. Prove that: sin x + sin 3x + sin 5x + sin 7x= 4 cos x cos 2x sin 4x

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