[" 1) "f(u)=cos3x+sin sqrt(3)x],[" (2) "f(u)=lsin3u+log_(6)n}]

If f_(n)(x) = (sin x)/(cos3x)+(sin 3x)/(cos 3^(2)x) +(sin 3^(2)x)/(cos 3^(3)x) +....+ (sin 3^(n-1)x)/(cos 3^(n)x)"Then" f_(2) ((pi)/(4)) + f_(3) ((pi)/(4))=

Identify the following as monomial binomial or trinomial expressions: (i) 7u^(6) (ii) y^(2)-2y+6 (iii) x^(2) (iv) x^(6)-sqrt(3)x (v) x^(3)-3x+2 (vi) u^(2)+2u

The range of f(x)=log_(sqrt(5))(sqrt(2)(sin x-cos x)+3) is

If u = f(x^2) , v = g(x^3), f^(1)(x) = sinx , g^(1)(x) = cos x then find (du)/(dv)

If y=log_(u)|cos4x|+|sin x|, where u=sec2x find (dy)/(dx) at x=-(pi)/(6)

Range of the function f(x)=log_(2)((sin x+cos x+3sqrt(2))/(sqrt(2))) is given by

Let A={u,v,w,x} .A bijective function f:A rarr A is chosen at random, then the probability that f(u)!=u,f(v)!=v,f(w)!=w and f(x)!=x is 1) (3)/(8) 2) (11)/(24) 3) (1)/(64) 4) (7)/(24)