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0 votes
2.3k views
in Mathematics by (31.5k points)

The number of values of x in the interval [0, 3π] satisfying the equation 2 sin2 x + 5 sin x -3 = 0 is

(a) 6

(b) 1

(c) 2

(d) 4

1 Answer

+1 vote
by (61.2k points)
selected by
 
Best answer

The correct option is (d) 4.

Explanation:

It is clear from figure that the curve intersect the line at four points in the given interval. 

Hence, number of solutions are 4.

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