Home
Class 12
MATHS
Cos^(-1)(xy-sqrt(1-x^(2))sqrt(1-y^(2)))=...

`Cos^(-1)(xy-sqrt(1-x^(2))sqrt(1-y^(2)))=`

A

`Sin^(-1)x+Sin^(-1)y`

B

`Cos^(-1)x+Cos^(-1)y`

C

`Tan^(-1)x+Tan^(-1)y`

D

`Cot^(-1)x+Cot^(-1)y`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 1)|6 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4)|4 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set -4|8 Videos

Similar Questions

Explore conceptually related problems

If y=Tan^""(-1)((sqrt((1+x^(2)))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))) then find dy/dx .

(d)/(dx) {Tan ^(-1)"" (sqrt(1+ x ^(2))+ sqrt(1- x ^(2)))/( sqrt(1+ x ^(2))- sqrt(1- x ^(2)))}=

int_(-1)^(1)(sqrt(1+x+x^(2))-sqrt(1-x+x^(2)))/(sqrt(1+x+x^(2))+sqrt(1-x+x^(2)))dx=

underset(x to 0)"Lt" (sqrt(1-x)-sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1+x))=

Find Lt_(xto0)(sqrt(1+x)-sqrt(1+x^(2)))/(sqrt(1-x^(2))-sqrt(1-x))

Find (dy)/(dx) in the following : y= sin^(-1) (2x sqrt(1-x^(2))), (1)/(sqrt(2)) lt x lt (1)/(sqrt(2)) .

int (x)/(sqrt(1- x^(2)) cos^(2) sqrt(1 - x^(2))) dx =

Show that : Lt_(x to 0)(sqrt(1+x)-sqrt(1+x^(2)))/(sqrt(1+x^(2))-sqrt(1-x))=1