What is the answer to this question?

3π/2<x<2π

Step-by-step explanation:

What is the answer to this question?

Given the expression

2sinx + 3 > sin²x

Rearrange

sin²x-2sinx - 3>0

Let P = sinx

P²-2P-3>3

Factorize

P²-3P+P-3>0

P(P-3)+1(P-3)>0

(P-3)(P+1)>0

P-3>0 and P+1>0

P>3 and P>-1

Substitute P = sinx

Sinx>3 and sinx>-1

x > sin^-1 3 and x > sin^-1 (-1)

x>-90°

Since sin is negative in the 3rd and 4th quadrant

x>270+90

x>360 or x>2π

In the 4th quadrant

x>360-90

x > 270

x > 3π/2

Combine the inequalities

3π/2<x<2π

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph