Find the period of `"cos"(cosx)+cos(sinx)dot`

Find the derivative of (cosx)/(1+sinx)

Find the derivative of sinx +cosx

Find the domain of cos^(-1) ((1+sinx )/2)

Find the derivative of (sinx+cosx)/(sinx-cosx)

Find the domain of cos^(-1) ((3+sinx)/4)

Find the period of the following function (i) f(x) =|sinx|+|cosx| (ii) f(x)=cos(cosx)+cos(sinx) (iii) f(x)= (|sinx+cosx|)/(|sinx|+|cosx|)

Prove that sin1>cos(sin1)dot Also, show that the equation sin("cos"(sinx))=cos("sin"(cosx)) has only one solution in [0,pi/2]dot

Find the domain of cos^(-1)((2+sinx)/(3)) .

If 2cosx+sinx=1, then find the value of 7cosx+6sinxdot