Home
Class 12
MATHS
if x in(o,pi/2),show that cot^-1(frac(...

if `x in(o,pi/2)`,show that
`cot^-1(frac(sqrt(1+sinx)+sqrt(1-sinx))(sqrt(1+sinx)-sqrt(1-sinx)))=x/2`

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|135 Videos
  • LINEAR PROGRAMMING

    MAXIMUM PUBLICATION|Exercise EXAMPLE|58 Videos

Similar Questions

Explore conceptually related problems

Prove the following : cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=x/2^,x in (0,pi/4)

Differentiate w.r.t x the functions cot ^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))]

Prove that tan ^(-1) ((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)))=pi/4+1/2 cos ^(-1) x^2

Show that tan^-1(frac(cosx)(1-sinx))=pi/4+x/2

cot^(-1)[(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-sqrt(1+sinx))] =a) pi-x b) 2pi-x c) x/2 d) pi-(x)/2

Find dy/dx of y=sqrt(sinx +sqrt (sinx+sqrt(sinx+.....

prove tan ^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))=pi/4-1/2 cos ^(-1) x, -1/2 le x le 1

Consider y=tan^-1sqrt((1+sinx)/(1-sinx)) Find dy/dx .

int_0^(pi/2)frac(sinx)(sinx+cosx)dx