Question

Find all solutions to the equation:

7 sin^2x - 14 sin x + 2 = -5

Answer 1

7 sin^2x - 14 sin x + 7 = 0
first we need to solve this for sin x

Answer 2

ok. do we need to isolate the sinx from the original equation or is there another method for doing this?

Answer 3

then factor it
7(sin^2x-2sinx+1)=0

Answer 4

now do basic operations with it
sin^2x-2sinx+1=0
(sinx-1)^2=0

Answer 5

then sinx=1

Answer 6

and solve the last
x=pi/2 or 90^deg

Answer 7

Oh, so you got rid of the 7 attached outside of the factored equation, correct?

Answer 8

uyes

Answer 9

Ok, I understand... I'm still getting the hang of these kind of problems. Thank you very much!

Answer 10

cool then