The correct option among the following is `(a) pi^e < e^(pi), (b) pi^e > e^(pi), (c) pi^e = e^(pi), (d)` none of these

Which one is Bigger ?? e^(pi) or (pi)^e

The principal value of sin^(-1)(sin((2pi)/3)) is (a) -(2pi)/3 (b) (pi)/3 (c) (4pi)/3 (d) (5pi)/3 (e) none of these

The principal value of sin^(-1)(sin((2pi)/3)) is (a) -(2pi)/3 (b) (2pi)/3 (c) (4pi)/3 (d) (5pi)/3 (e) none of these

The principal value of sin^(-1)(sin((2pi)/3)) is (a) -(2pi)/3 (b) (2pi)/3 (c) (pi)/3 (d) (5pi)/3 (e) none of these

If z=(i)^((i)^(i)) w h e r e i=sqrt(-1),t h e n|z| is equal to a. 1 b. e^(-pi//2) c. e^(-pi) d. none of these

If z=(i)^(i)^(((i)))w h e r e i=sqrt(-1),t h e n|z| is equal to 1 b. e^(-pi//2) c. e^(-pi) d. none of these

Let f(x)=e^(cos^(-1){sin(x+pi/3)}) Then, f((8pi)/9)= (a) e^(5pi//18) (b) e^(13pi//18) (c) e^(-2pi//18) (d) none of these

If z=(i)^(i)^(i) where i=sqrt(-1),t h e n|z| is equal to 1 b. e^(-pi//2) c. e^(-pi) d. none of these

inte^x((2tanx)/(1+tanx)+cot^2(x+pi/4))dx is equal to (a) e^xtan(pi/4-x)+c (b) e^xtan(x-pi/4)+c (c) e^xtan((3pi)/4-x)+c (d) none of these

Let f(x)=e^cos^ (( -1 )) {sin(x+pi/3)}dot Then, f((8pi)/9)= e^(5pi//18) (b) e^(13pi//18) (c) e^(-2pi//18) (d) none of these