A value of θ for which is purely imaginary is
π/3
π/6
D.
Let z = is purely imaginary. Then, we have Re (z) = 0
We have Re (z) = 0
Now, consider z =
Consider f(x) = tan-1 . A normal to y = f (x) at x = π/6 also passes through the point
(0,0)
(0, 2π/3)
(π/6 ,0)
(π/6 ,0)
If 0≤x<2π, then the number of real values of x, which satisfy the equation cosx+cos2x+cos3x+cos4x=0, is :
3
5
7
7
If cos-1 x - cos-1 y/2 = α, then 4x2 − 4xy cos α + y2 is equal to
2 sin 2α
4
4 sin2 α
4 sin2 α