Let `f:(-1,1)vecR` be such that `f(cos4theta)=2/(2-sec^2theta)` for `theta in ` `(0,pi/4)uu(pi/4,pi/2)` . Then the value(s) of `f(1/3)` is (are) `1-sqrt(3/2)` (b) `1+sqrt(3/2)` (c) `1-sqrt(2/3)` (d) `1+sqrt(2/3)`

Let f:(-1,1)rarr R be such that f(cos4 theta)=(2)/(2-sec^(2)theta) for theta in(0,(pi)/(4))uu((pi)/(4),(pi)/(2)). Then the value(s) of f((1)/(3)) is/are

Let f:(-1,1)vec R be such that f(cos4 theta)=(2)/(2-sec^(2)theta) for theta in(0,(pi)/(4))uu((pi)/(4),(pi)/(2))* Then the value(s) of f((1)/(3)) is (are) (a)1-sqrt((3)/(2))( b) 1+sqrt((3)/(2))(c)1-sqrt((2)/(3))(d)1+sqrt((2)/(3))(b)1+sqrt((3)/(2))(c)

sqrt(((1+sin2theta))/(1-cos^(2)theta))["where" theta in [0,(pi)/(4)]]=

The value of sectheta/sqrt(1-cos^2x)+cosx/(sqrt(1+cot^2theta))" for "theta in (pi,(3pi)/2) is

If pi/4

If y=sqrt(((1+cos2theta)/(1-cos2theta))),(dy)/(d theta) at theta=(3pi)/(4) is

When theta=(17 pi)/(3), then the value of (tan theta-cot theta) is: ( a )(2)/(sqrt(3))(2)-(2)/(sqrt(3))(3)(1)/(2sqrt(3)) (d) None

Let f(theta)=sin(tan^(-1)((sin theta)/(sqrt(cos2 theta)))), wher e-(pi)/(4)