The expression `(tan(x-pi/2)cos((3pi)/2+x)-sin^3((7pi)/2-x))/(cos(x-pi/2)tan((3pi)/2+x)` is equal to

The expression (tan(x-(pi)/(2)).cos((3pi)/(2)+x)-sin^(3)((7pi)/(2)-x))/(cos(x-(pi)/(2)).tan((3pi)/(2)+x)) simplifies to

The expression (tan(x-(pi)/(2)).cos((3pi)/(2)+x)-sin^(3)((7pi)/(2)-x))/(cos(x-(pi)/(2)).tan((3pi)/(2)+x)) simplifies to

The expression (tan(x-(pi)/(2)).cos((3pi)/(2)+x)-sin^(3)((7pi)/(2)-x))/(cos(x-(pi)/(2)).tan((3pi)/(2)+x)) simplifies to

The value of the expression cos((pi)/(2)-x)cos((3 pi)/(2)+x)-cos(pi-x)cos(2 pi-x)

Period of f(x)=sin, pi/2 x+2cos, pi/3 x-tan, pi/4 x is equal to

cos((3pi)/(2) +x) cos(2pi+x)[cot(3pi)/(2)-x+cot(2pi+x)]=1

if L=lim_(x rarr pi)(tan(pi cos^(2)x))/((x-pi)^(2)) then (L)/(pi) is equal to:

Prove that cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x)]=1

If the expression cos(x-3(pi)/(2))+sin(3(pi)/(2)+x)+sin(32 pi+x)-18cos(19 pi-x)+cos(56 pi+x)-sin(x+17 pi) is expressed in the form of a sin x+b cos x, then a+b is equal to

int_(-3pi//2)^(-pi//2) [(x +pi)^3 + cos^2 (x + 3pi)]dx is equal to :