Which of the following functions is not periodic? (a)`|sin3x|+sin^2x` (b) `cossqrt(x)+cos^2x` (c) `cos4x+tan^2x` (d) `cos2x+sinx`

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

Which of the following functions is periodic (a) cos^2x+sinx^3+"tan"(x^4) (b) cos^2x+sinx^3+tan^4x (c) cos^2x^2+sinx^3+tan^4x (d) cos2x+sin3x+tan4x

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)

Which of the following pairs of functions is NOT identical? (a) e^((lnx)/2) and sqrt(x) (b) tan(tanx) and cot(cotx) (c) cos^(2)x+sin^(4)x and sin^(2)x+cos^(4)x (d) (|x|)/x and sgn(x) where sgn(x) stands for signum function.

If cos x=t a n x , then which of the following is true? (a) 1/(sinx)+cos^4x=1 (b) 1/(sinx)+cos^4x=2 (c) cos^(54)x+cos^2x=1 (d) cos^4x+cos^2x=2

Evaluate the following integrals. int sin x cos x (sin 2x + cos 2x) dx

Which of the folllowing functions are defined for all x (A) sin[x]+ cos[x]([x] denotes the greatest integers less than x) B) sec^(-1) (1 + sin²x) (C) tan(logx) (D) sqrt(9/8+cos x+cos 2x)

int(sin^3x+sin^5x)/(cos^2x+cos^4x)dx

Solve that following equations : sinx-3sin2x+sin3x=cosx-3cos2x+cos3x

If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b)) is equal to (a) 2sinx//sqrt(sin2x) (b) 2cosx//sqrt(cos2x) (c) 2cosx//sqrt(sin2x) (d) 2sinx//sqrt(cos2x)