x(i)=sin x cos x

Find the derivative of the following functions:(i) sin x cos x (ii) sec x (iii) 5 sec x + 4 cos x (iv) cos e c x (v) 3 cot x + 5 cos e c x

The function f(x) given by f(x)=(sin 8x cos x-sin6x cos 3x)/(cos x cos2x-sin3x sin 4x) , is

The function f(x) given by f(x)=(sin 8x cos x-sin6x cos 3x)/(cos x cos2x-sin3x sin 4x) , is

Find the derivative of f(x) from the first principles,where f(x) is (i) sin x+cos x (ii)

3. (sin x+cos x)(1-sin x cos x)=sin^(3)x+cos^(3)x

What is the value of (sin^(3) x + cos^(3) x)/( sin x + cos x) + sin x cos x ?

The differentiation of sin x with respect to x is cos x* i.e.(d)/(dx)(sin x)=cos x

If sin(sin x + cos x) = cos (cos x - sin x) then the largest possible value of sin x is

=I^(int_(0)^( pi/2))(x)/(sin x+cos x)

Prove that (i) 2 cos x cos y=cos (x+y)+cos (x-y) (ii) -2 . sin x sin y=cos (x+y)-cos (x-y) (iii) 2 sin x cos y=sin (x+y)+sin (x-y) (iv) 2 cos x sin y=sin (x+y)-sin (x-y)