Question

If cos Θ = square root 2 over 2 and 3 pi over 2 < Θ < 2π, what are the values of sin Θ and tan Θ?

Answer 1

Can u just type it as equation

Answer 2

@jamieallover

Answer 3

@jamieallover22

Answer 4

Yeah, sorry. Here's a screenshot.

Answer 5

Like I know what the actual answer is, I just don't know how to get it.

Answer 6

@sheelo_mughal

Answer 7

draw a diagram

Answer 8

Did the screenshot not load? @sourwing

Answer 9

If I drew it you wouldn't be able to tell what it was.

Answer 10

It loaded, which quadrant is theta in?

Answer 11

It doesn't say, but if I look at my trig graph paper it looks like it's in either I or IV cause it's between 3pi/2 and 2pi

Answer 12

between 3pi/2 and 2pi is the IV quadrant.

Answer 13

what is the length of the missing side?

Answer 14

Is it \[\sqrt{2}\] ??

Answer 15

That's what I get if I solve a^2+b^2=c^2

Answer 16

What is the sign of the tangent function in quadrant IV?
What is the sign of the sine function in quadrant IV? If you know that you can solve by inspection.

Answer 17

it's -sqrt(2) since theta is in the 4th quadrant