(i)Simplify `f(x)=(sin x-cos x)/(x-pi/4)` using the substitution `theta =x-pi/4`

if sin x= cox x , x in[o,pi] then is

Find the derivative of f(x)=(x^(2)cos (pi/4))/(sin x)

int_-(pi/2)^(pi/2) x sin x d x

If sin^-1x=pi/4 ,find the value of cos^-1x

Find the derivative of (x^2 cos (pi/4))/(sin x)

Find the intervals in which the function f given by f(x) = (4 sin x - 2x - x cos x)/(2 + cos x) is (i) increasing (ii) decreasing, x in (0, 2pi)

Let f (x) = sin x - cos x. Then the value of lim _( x to pi/2) ""(f (x)- f ((pi)/(2)))/(x - (pi)/(2)) is

What is the fundamental period of f(x) = (sin x + sin 3x)/(cos x + cos 3x) a) pi//2 b) pi c) 2pi d) 3pi

Write the following functions in the simplest form : tan^(-1)((cos x -sin x)/(cos x + sin x)), -pi/4 lt x lt (3pi)/4

Show that cos ((pi)/(2)-x)=sin x