Home
Class 12
MATHS
"Let "e^(y)=(sqrt(1+alpha)+sqrt(1-alpha)...

`"Let "e^(y)=(sqrt(1+alpha)+sqrt(1-alpha))/(sqrt(1+alpha)-sqrt(1-alpha)) and "tan"(x)/(2)=sqrt((1-alpha)/(1+alpha)),alpha in [-1, 0]cup(0,1]." Then "((dy)/(dx))_(x=(pi)/(3))=`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • METHODS OF DIFFERENTIATION

    CENGAGE|Exercise Multiple Correct Answer Type|7 Videos
  • MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS

    CENGAGE|Exercise JEE Advanced Previous Year|17 Videos

Similar Questions

Explore conceptually related problems

Prove that sin4 alpha=4tan alpha (1- tan^(2)alpha)/((1+tan^2 alpha)^2

1f (1)/(sqrt3+sqrt2)=sqrt3+alpha then alpha is

If tan^(-1)((sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(2))))=alpha" then prove that "x^(2)=sin2alpha.

alpha beta x ^(alpha-1) e^(-beta x ^(alpha))

Sum the series: sqrt(1+cos alpha)+sqrt(1+cos 2alpha)+sqrt(1+cos 3alpha) +.......to n terms, where 0ltalphaltpi

If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is tan^2alpha/2 (b) cot^2alpha/2 (c) tan^2alpha (d) cotalpha/2

Prove that sin 4alpha = 4 tan alpha (1 - tan^(2) alpha)/((1 + tan^(2) alpha)^(2))

A value of alpha such that int_(alpha)^(alpha+1) (dx)/((x+alpha)(x+alpha+1))="loge"((9)/(8)) is

If y = (2 sin alpha )/(1 + cos alpha + sin alpha) then, prove that (1 - cos alpha + sin alpha)/(1 + sin alpha) = y .