Which of the following functions are periodic -- (1) `sinx+cosx` (2) `cosx+{x/pi}` (3) `cospi x+{2x}` (4) In `{x}+sin2x`

Which of the following functions is non-periodic? (1) 2^x/2^[x]= (2) sin^(-1)({x}) (3) sin^(-1)(sqrt(cosx)) (4) sin^(-1)(cos x^2)

Integrate the following functions: (cosx-sinx)/(1+sin(2x)

Integrate the following functions with respect to x. (sinx+cosx)/(sqrt(1+sin2x))

sinx + cosx = (cos2x)/(1-sin2x)

Find the period of following function f(x)=1/2{|sinx|/cosx+|cosx|/sinx}

Write the following functions in the simplest form : tan^-1(cosx)/(1-sinx), - (3pi)/2 < x< pi/2

Differentiate the following function with respect to x : sin^(-1)(sinx),x in [0,2pi] cos^(-1)(cosx),x in [0,2pi] tan^(-1)(tanx),x in [0,pi]-{pi/2}

The period of f(x)=(1)/(2){(| sinx|)/(cos x)+(|cosx|)/(sinx)} , is

The period of f(x)=(1)/(2){(| sinx|)/(cos x)-(|cosx|)/(sinx)} , is

Differentiate the following functions with respect to x. (i) x^(2//3)+7e^x-(5)/(x)+7tanx (ii) log {tan((pi)/(4)+(x)/(2))} (iii) (sinx-cosx)/(sinx+cosx) (iv) tan(tan^(-1)sqrt((1-cosx)/(1+cosx)))