Home
Class 12
MATHS
If alpha = Tan^(-1)((sqrt(1+x^2)-sqrt(1-...

If `alpha = Tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2)))` then prove that `x^(2) = sin 2alpha`.

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/2- 2alpha`.
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    SRISIRI PUBLICATION|Exercise SAQ (1D Star Q)|22 Videos

  • HYPERBOLIC FUNCTIONS

    SRISIRI PUBLICATION|Exercise SPQ|8 Videos

  • IPE SCANNER (TEXTUAL BITS)

    SRISIRI PUBLICATION|Exercise APPLICATIONS OF DERIVATIVES|48 Videos

Similar Questions

Explore conceptually related problems

If (sqrt(1 +x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))=3 then x=

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

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

Sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^(2))]=

tan^(-1)(x+sqrt(1+x^(2)))=

int (sqrt(1-x^(2))+sqrt(1+x^(2)))/(sqrt(1-x^(4)))dx=

int(x^(2))/(sqrt(1+x^(2))(1+sqrt(1+x^(2))))dx

tan[2Tan^(-1)((sqrt(1+x^(2))-1)/x)]=