What is the solution to 2sin^ (2) x+sinx+1=0

a. 30 deg

b. 150 deg

c. 240 deg

d. 270 deg

e. 330 deg

Well you can try rewriting it to this

answer is d 270

first start of by factoring and subtracting the 1 into the right side

sin (x) (2 sin (x) + 1) = - 1

set each one equal to - 1

sin (x) = - 1 and 2 sin (x) + 1 = - 1

2 sin (x) = - 2

sin (x) = - 1

so therefore we have our final equation

sin (x) = - 1 and sin (x) = - 1

so then you look in your unit circle and find what coordinate equals - 1 in terms of sin x