Find the value of `tan^-1((sinx+cosx)/(cosx-sinx))`

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

Find the maximum value of sinx.cosx

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

tan^(-1)((cosx-sinx)/(cosx+sinx))=pi/4-x

The derivative of tan^(-1) ((sinx -cosx)/(sinx +cosx)) , with respect to (x)/(2) , where x in(0,(pi)/(2)) is:

Evaluate Tan^-1 [(sinx)/(1+cosx)]

Evaluate: int(3sinx+2cosx)/(3cosx+2sinx)dx

Write the following function in the simplest form: tan^(-1)((cosx-sinx)/(cosx+sinx)), x < pi

Express each of the following in the simplest form: tan^(-1){(cosx)/(1-sinx)} ,where -pi/2 < x < pi/2 (ii) tan^(-1)((cosx-sinx)/(cosx+sinx)) , -pi/4 < x < pi/4

If y=tan^(-1)((sinx+cosx)/(cosx-sinx)) , then (dy)/(dx) is equal to (a) 1/2 (b) 0 (c) 1 (d) none of these