Home
Class 12
MATHS
tan^-1[[2cosx-3sinx]/[3cosx+2sinx]]...

`tan^-1[[2cosx-3sinx]/[3cosx+2sinx]]`

Text Solution

Verified by Experts

`tan^(-1)[(2cos(1-3/2tanx))/(3cos(1+2/3tanx))]`
`=tan^(-1)[2/3(1-3/2tanx)/(1+2/3tanx)]`
`=tan^(-1)[(tantheta-tanx)/(1+tanthetatanx)]`
`=tan^(-1)[tan(theta-x)`
`=theta-x`
`=tan^(-1)(2/3)-x`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Find- tan^-1[(cosx-sinx)/(cosx+sinx)]

Find dy/dx , if y=tan^-1((cosx-sinx)/(cosx+sinx))

Solve: tan^(-1)((cosx-sinx)/(cosx+sinx))

int((2cosx-3sinx)/(3cosx+2sinx))dx

Find dy/dx , tan^(-1){(cosx - sinx)/(cosx + sinx)} .

Find the derivative of tan^(-1)((cosx - sinx)/(cosx + sinx)) with respect to 'x'

tan^(-1) ((cosx - sinx)/(cosx + sinx)) , 0< x < pi

Show that tan^(-1)[(cosx+sinx)/(cosx-sinx)]=(pi)/(4)+x .