Home
Class 12
MATHS
Let z=sinx-cosx. Show that 1-z^2=sin2x....

Let z=sinx-cosx. Show that `1-z^2=sin2x`.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|5 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|97 Videos

Similar Questions

Explore conceptually related problems

Let z=sinx-cosx . Find dz/dx .

Let z=sinx-cosx. Compute int(cosx+sinx)/sqrt(sin 2x)

Consider the equation sqrt3sinx-cosx=sqrt2 prove that sin (x-(pi/6))=1/sqrt2

Prove that, (sinx+cosx)^2=1+sin2x

Show that sin 2 x=2 sin x cosx=(2 tan x)/(1+tan ^(2) x)

If cos ^-1 x+cos ^(-1) y+cos ^(-1) z=pi and 0ltx, y ,zlt1 ,show that x^2+y^2+z^2+2 x y z=1

Let z=x+iy be a complex number such that |z+i|=2 . Then the locus of z is a circle whose centre and radius are

Consider the determinant Delta=abs[[x,x^2,1+x^3],[y,y^2,1+y^3],[z,z^2,1+z^3]] , Where x,y,z are different. Show that if Delta=0 ,then 1+xyz=0

If tan^-1x+tan^-1y+tan^-1z=pi ,show that x+y+z=xyz

Prove that (sinx+sin3x)/(cosx+cos3x)=tan2x