[" (I) "Let f(x)={[(1-sin^(3)x)/(3cos^(2)x)," if "x<(pi)/(2)],[(b(1-sin x))/((pi-2x)^(2)),," if "x=(pi)/(2)*" If "f(x)" is continuous at "x=(pi)/(2)," find "a" and "b]]

Let f(x)={{:((1-sin^(3)x)/(3cos^(2)x),"if "x lt(pi)/(2)),(a,"if "x=(pi)/(2)),((b(1-sinx))/((pi-2x)^(2)),"if "x gt(pi)/(2)):}" ," if f (x) is continuous at x=(pi)/(2) , find a and b .

Let f(x)={(1-sin^3x)/(3cos^2x) if x pi/2 find a and b. .

Let f'(x)=3x^(2)sin((1)/(x))-x cos((1)/(x)), if x!=0,f(0)=0 and f((1)/(pi))=0 then

Let f(x)=e^(cos^-1sin(x+pi/3)) , then

f(x)=1+2sin x+3cos^(2)x,0<=x<=(2 pi)/(3)

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))=

Let f(x)=e^(cos^(-1)sin(x+pi//3)) then

Let f(x)=e^(cos^(-1)sin(x+ pi/3)) , then

Find the domain of the following following functions: (a) f(x)=(sin^(-1))/(x) (b) f(x)=sin^(-1)(|x-1|-2) (c ) f(x)=cos^(-1)(1+3x+2x^(2)) (d ) f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))) (e ) f(x)="cos"^(-1)((6-3x)/(4))+"cosec"^(-1)((x-1)/(2)) (f) f(x)=sqrt("sec"^(-1)((2-|x|)/(4)))