Home
Class 12
MATHS
If 2 tan ^(-1) x = sin ^(-1) k then...

If ` 2 tan ^(-1) x = sin ^(-1) k` then the value of k is -

A

` (1-x^(2))/(1+x^(2))`

B

`(2x)/(1-x^(2))`

C

`(2x)/(1+x^(2))`

D

`(2x^(2))/(1+x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise Very short answer type Questions|39 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise Short answer type questions|45 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise sample questions for competive examination|20 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

If tan(cos^(-1) x) = sin (cot^(-1)(1/2)) , then find the value of x

if int "cosec"^(2/3)xcos^(3) xdx = k (sinx)^(1/3)-3/7 (sin x )^(7/3)+c then the value of k is -

If int sin 2x sin 3x dx = (sinx)/2 - (sin kx)/10 + c then the value of k is -

If int sqrt(a^(2)-x^(2))dx=(x)/(2)sqrt(a^(2)-x^(2))+k sin^(-1)(x/a)+c , then the value of k is-

If int tan^(-1)x dx=xtan^(-1)x+k log(1+x^(2))+C , then the value of k is-

If sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(x/(2-x^2))=cos^(-1)k+pi, then the value of k is (a)1 (b) -1/(sqrt(2)) (c) 1/(sqrt(2)) (d) non of these

If (d)/(dx)(tan^(-1)x)^(2)=k tan^(-1)x*(1)/(1+x^(2)) , then the value of k is -

if int dx/(4 + 5sin^(2)x)=1/k tan^(-1)(3/2tanx)+c, then the value of k is -

If int (cos^(4)x)/(sin^(2)x) dx = - k (x/2 + 1/12 sin 2x + 1/3 cot x) + c , then the value of k is -

If int (dx)/((2x-7) sqrt((x-3) (x-4))) = 1/k sec^(-1) (2x-7)+ c , then the value of k is -