Question

The number of values of x in the interval 0,5π satisfying the equation 3sin²x − 7sinx + 2 = 0 is 

(a) 0 

(b) 5 

(c) 6 

(d) 10

Answer 1

The correct option is (b) 5.

Explanation;

But, sin x can not be more than 1. 

∴ sin x=1/3 

It means, value of sin x is positive. 

It means, x lies in first and second quadrant. 

So, there are 2 values from 0 to 2π. 

So, from 0 to 5π, there will be 5 values for x that will satisfy the given equation.