Find the value of `sin^2x/(1+cosx)+sin^2x/(1-cosx)`

Find the maximum value of 4sin^2x+3cos^2x+sinx/2+cosx/2dot

If 0ltxlt(pi)/(2) exp [(sin^(2)x+sin^(4)x+sin^(6)x+'.....+oo)log_(e)2] satisfies the quadratic equation x^(2)-9x+8=0 , find the value of (sinx-cosx)/(sinx+cosx) .

Find the range of f(x)=sin(cosx).

lim_(x rarr0)(sin^2x)/(1-cosx)

The value of int(sinx +cosx)/(3+sin2x)dx , is

Find the value of int_(-2)^(2)(sin^(-1)(sinx)+cos^(-1)(cosx))/((1+x^(2))(1+[(x^(2))/5]))dx , where [.] represents the greatest integer function.

Evaluate: int(sin2x(1-3/2cosx))/e^(sin^2x+cos^3x)dx

d/dx(cosx.sin^-1x)

The value of int(1)/(sin(x-(pi)/(3))cosx)dx , is

Evaluate: int(sin^6x)/(cosx)\ dx