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If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x...

If `tan^(-1)x+2cot^(-1)x=(2pi)/3,` then `x ,` is equal to (a)`(sqrt(3)-1)/(sqrt(3)+1)` (b) 3 (c) `sqrt(3)` (d) `sqrt(2)`

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If |sin^(-1)x|+|cos^(-1)x|=pi/2,t hen

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  2. The mean and standard deviation of 100 observations were calculated as...

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  3. If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a)(sqrt(3)-1...

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  4. Find the area bounded by y=sin^(-1)(sinx) and x-axis for x in [0,100pi...

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  5. Solve cos^(-1)(cosx)>sin^(-1)(sinx),x in [0,2pi]

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  6. If cos(2sin^(-1)x)=1/9, then find the values of xdot

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  7. Find the number of solution of 2tan^(-1)(tanx)=6-x

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  8. Find the value of sin(1/4cos^(-1)((-1)/9))

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  9. Find the value of sin(1/2cot^(-1)(-3/4))

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  10. Solve sin^(-1)(1-x)-2sin^(-1)x=pi/2

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  11. Prove that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

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  12. Simplify sincot^(-1)tancos^(-1)x , x >0

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  13. If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n th...

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  14. If 2tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is independent of x , then (a)x >...

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  15. Equation 1+x^2+2x"sin"(cos^(-1)y)=0 is satisfied by (a) exactly one...

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  16. To the equation 2^(2pi//cos^(-1)x) - (a + (1)/(2)) 2^(pi/cos^(-1)x) -a...

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  17. Let alpha = sin^(-1) ((36)/(85)), beta = cos^(-1) ((4)/(5)) and gamma ...

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  18. If Sn=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+....n terms, t...

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  19. The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 17/(6) (...

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  20. If tan^(-1)((sqrt(1+x^2)-1)/x)=4^0 then (a)x=tan2^0 (b) x=tan4^0 (c)...

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