Question

Find all solutions to the equation.

7 sin2x - 14 sin x + 2 = -5

Answer 1

secret letter E (EVERYTHING)

Answer 2

this is a quadratic equation... start by letting it equal zero

\[7(\sin^2(x) -2\sin(x) + 1) = 0\]

you'll find the quadratic is a perfect square

Answer 3

I got that but at this point I am lost. Unless that is the answer which I don't believe it is.

Answer 4

ok... so it factors to

\[7(\sin(x) -1)^2 = 0\]

so what values of x make

sin(x) - 1 = 0

Answer 5

X=1

Answer 6

nope sin(x) = 1

\[x = \sin^{-1} (1)\]

whats the angle

Answer 7

1.5707

Answer 8

ummm are you working in degrees or radians...?

Answer 9

degrees

Answer 10

ok... so the only place when sin(x) = 1 is where x = 90 degrees

Answer 11

ok