The real part of `(1+ cos ""pi/5 + i sin ""pi/5)^(-1)` is-

The real part of [1+cos(pi/5)+isin (pi/5)]^(-1)

[[cos(pi)/(5)-i sin(pi)/(5)]]^(-5)

The value of sin^(-1)(cos""(3pi)/(5)) is

The value of sin^(-1)(cos""(53pi)/(5)) is

If the real part of the complex number (1 - cos theta + 2 i sin theta) ^(-1) is (1)/(5) for theta in (0, pi), then the value of the integral int _(0) ^(theta) sin xdx is equal to :

The value of sin^(-1) (cos ((33pi)/5)) is :

The value of sin^(-1)(cos ((43pi)/5)) is :