Find periods for
`{:((i) cos^(4)x., (ii) sin^(3)x., (iii)cos sqrt(x).,(iv) cos x.):}`

find the period of sin (x/2)-cos(x/3) is

If 4 cos^(2) x = 3 and x is an acute angle find the value of : (i) x (ii) cos^(2)x + cot^(2)x (iii) cos 3x (iv) sin 2x

Integrate with respect to x: i) sin^(2)x , ii) cos^(3)x , iii) sin2xcos3x , iv) 1/(sqrt(x+3)-sqrt(x+2))

Which of the following functions are decreasing on (0,\ pi//2) ? (i) cosx (ii) cos2x (iii) tanx (iv) cos3x

Which of the following functions are decreasing on (0,\ pi//2) ? (i) cosx (ii) cos2x (iii) tanx (iv) cos3x

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

Which of the following functions is not periodic? (a) |sin 3x| +sin^(2)x " (b) " cos sqrt(x)+cos^(2)x (c ) cos 4x +tan^(2)x " (d ) " cos 2x + sinx

Express sin^(-1)x in terms of (i) cos^(-1)sqrt(1-x^(2)) (ii) "tan"^(-1)x/(sqrt(1-x^(2))) (iii) "cot"^(-1)(sqrt(1-x^(2)))/x

In the given figure angle B = 90 ^(@) and angle ADB = x^(@) , Find : (i) sin angle CAB (ii) cos ^(2) C^(@) + sin ^(2) C^(@) (iii) tan x^(@) - cos x^(@) +3 sin x ^(@)

The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is