Question

find the number of values of X in the interval 0,3π
satisfying the equation 2 sin square x + 5 sin x minus 3 equal to zero

Answer 1

π/6;5π/6;8π/3;13π/6
thanks for asking the question

Answer 2

Answer: π/6, 5π/6, 13π/6, 17π/6

Step-by-step explanation:

2sin^2x+5sinx-3=0

(2sinx-1)(sinx+3)=0

Which gives. sinx=1/2, -3

Neglect sinx=-3 {as not possible (-1<=sinx<=1)}