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Prove that cotx - 2cot2x = tanx...

Prove that `cotx - 2cot2x = tanx`

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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. The value of Sigma( r =1)^( infty) tan^(-1) ( 1/( r^(2) - 5r + 7)) ,...

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  2. If x = tan^(-1) 1 - cos^(-1) ( - 1/2) + sin^(-1) 1/2 , y = cos (1/2 c...

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  3. Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A)=0

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  4. Prove that : tan^-1(1/2) + tan^-1(1/5) + tan^-1(1/8) = pi/4

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  5. Number of solutions (s) of the equations cos^(-1) ( 1-x) - 2 cos^(-...

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  6. There exists a positive real number of x satisfying "cos"(tan^(-1)x)=x...

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  7. The range of values of p for which the equation sin cos^(-1) (cos (tan...

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  8. Number of solutions of the equation log(10) ( sqrt(5 cos^(-1) x -1 ...

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  9. Solve sin^(-1) x+ cos^(-1) x = sin^(-1) (3x -2)

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  10. The set of values of x, satisfying the equation tan^2(sin^-1x) > 1 is ...

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  11. The solution set of equation sin^(-1) sqrt(1-x^2) + cos^(-1) x = cot^(...

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  12. The value of the angle tan^(-1) ( tan 65^(@) - 2 tan 40^(@)) in degree...

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  13. Prove that cotx - 2cot2x = tanx

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  14. The value of Sigma(r=1)^(infty) tan^(-1) ( 1/(r^(2) + 5r + 7)) is equ...

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  15. The range of the function , f (x) = tan^(-1) ((1+x)/(1 - x)) - tan^(...

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  16. Let g: Rvec(0,pi/3) be defined by g(x)=cos^(-1)((x^2-k)/(1+x^2)) . The...

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  17. Number of values of x satisfying simultaneously sin^(-1) x = 2 tan^(-1...

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  18. Number of values of x satisfying the equation cos ( 3 arc cos ( x-1)) ...

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  19. Which one of the following function contains only one integer in its ...

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  20. If range of the function f(x) = tan^(-1) ( 3x^(2) + bx + 3) , x in R "...

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