Question

Find all solutions to the equation.
7(sin^2)x - 14sinx+2=-5

Answer 1

Let sinx = x:

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

Answer 2

so is it x=0, 2pi?

Answer 3

Show your work.

Answer 4

I honestly have no idea what I'm doing.

Answer 5

7x^2 - 14x + 7 = 0
7(x^2 - 2x + 1) = 0
x^2 - 2x + 1 = 0
x^2 - x - x + 1 = 0
x(x - 1)-1(x - 1) = 0
(x - 1)^2 = 0
x - 1 = 0
x = 1

Replace x = sin(x)
sin x = 1
x = sin^{-1}(1)
x = 90

Answer 6

x = pi/2

Answer 7

There's only one answer for this one.

Answer 8

Thank you!!