Solve the trig equations 2sin^2(x) + sin(x) - 1 =0

[Trail_Builder]

Homework Statement

Find all values of x in the interval 0<=x<=2pi for which 2sin^2(x)+sin(x)-1=0.

Homework Equations

The Attempt at a Solution

I have no idea.

I spent awhile trying to figure it out on my graphics calculator but couldn't figure it out.

I have only been told how to solve trig equations where there is 1 trig function, lol.

any help would be great thanks.

 

[neutrino]

This equation is quadratic, the variable is sin(x). Can you solve now?

 

[rocomath]

ax^2+bx+c=0

quadratic formula ...

for trig

x=trig identity

 

[Trail_Builder]

o rite i see.

I think I have the right answers lol

cheeers

 

[rocomath]

o rite i see.

I think I have the right answers lol

cheeers

You can always check it by plugging it back into your original equation.