Question

Help?
Find all solutions to the equation.
7 sin^2x - 14 sin x + 2 = -5

Answer 1

1. Add 5 to both sides
2. Divide both sides by 7
3. Factor the left side
4. Set each factor equal to 0
5. Solve each equation.

Answer 2

Okay, so I was on the right track. I did all of that, up to #3. How do I factor sin^2x-2sin x?

Answer 3

That's not what you get when you divide both sides by 7. What is 7 divided by 7?

Answer 4

Oops. I'm an idiot.

Answer 5

7 sin^2x - 14 sin x + 2 = -5
7 sin^2x - 14 sin x + 7 = 0
sin^2x - 2 sin x + 1 = 0
go from here.

Answer 6

(sin x -1)^2

Answer 7

yes

Answer 8

So sinx = 1

Answer 9

So does that mean 1 is the only solution?

Answer 10

The number of solutions is infinite unless you have a restricted domain.

Answer 11

x=90 +360n where n is an integer.

Answer 12

Okay, so infinite. Thanks. You made this so much more simple than my online class does. :)

Answer 13

yw