Question

Find sin 2x, cos 2x, and tan 2x from the given information.
csc x = 4, tan x < 0

Answer 1

$$\sin x = \frac 14; \cos x = \sqrt{1- \frac 1{16} }$$

you can find the sin2x and even cos 2x and then tan 2x is easy

Answer 2

why is it 1/4?

Answer 3

$$\sin x = \frac1{\csc x} $$

Answer 4

How did you get these? That's what I'm having trouble with.

Answer 5

that's the definition of csc x

Answer 6

trigonometric identities

Answer 7

it starts with sinx^2+cosx^2=1

Answer 8

this might help you: http://www.sosmath.com/trig/Trig5/trig5/trig5.html