The number of values of alpha in [0,2 p...

The number of values of `alpha ` in [0,2 `pi`] for which `2 sin^(3) alpha - 7 sin^(2) alpha + 7 sin alpha = 2` is

A

6

B

4

C

3

D

1

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The number of values of alpha in [0,2pi] for whilch 2sin^(3)alpha-7sin^(2)alpha+7 sin alpha=2 , is

sin 2 alpha - cos 2 alpha tan alpha =

cos^(4)alpha+sin^(4)alpha-6sin^(2)alpha cos^(2)alpha=

If sin 3alpha = 4 sin alpha sin (x + alpha)sin(x-alpha) , then x =

( cos 2 alpha)/( cos^(4) alpha - sin^(4) alpha ) -(cos^(4) alpha + sin^(4) alpha )/(2-sin^(2) 2alpha ) =

( sin 8 alpha * cos alpha - sin 6 alpha * cos 3 alpha )/(cos 2 alpha cos alpha - sin 3 alpha * sin 4alpha ) =

(sqrt(2)-sin alpha - cos alpha)/(sin alpha - cos alpha) is equal to