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Solve sin^(-1) x- cos^(-1) x = sin^(-1) ...

Solve `sin^(-1) x- cos^(-1) x = sin^(-1) (3x -2)`

A

`{1/2,1}`

B

`[1/2,1]`

C

`[1/3,1]`

D

`{1/3,1}`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. The number k is such that tan { arc tan (2) + arc tan (20 k) } = k. ...

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

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

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  4. Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(cota)+tan^(-1)(cot^3A)={ when ...

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  5. sum(n=1)^oo(tan^-1((4n)/(n^4-2n^2+2))) is equal to (A) tan ^-1 (2)+t...

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

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

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

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

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

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

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

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  13. If cos^(-1) . x/a - sin^(-1). y/b = theta (a , b , ne 0), then the max...

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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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