Question

if cot of theta = -9/2 with theta in Quadrant 2, find the sin of theta. How do i solve this?

Answer 1

Oh I love these! I will help you!

Answer 2

First tell me what the cotangent identity is the same as (like tangent is the same as sine/cos). Give me that first.

Answer 3

ok i think its cos/sine?

Answer 4

Yes, that's right. So another way to write that is this\[\cot \theta=-\frac{ 9 }{ 2 }-->\frac{ \cos \theta }{ \sin \theta }=-\frac{ 9 }{ 2 }\]

Answer 5

In the second quadrant which identity is negative, cos or sin?

Answer 6

cosine is negative in the second quadrant

Answer 7

yes. Does cos represent your x value or your y value?

Answer 8

I wonder if there's a problem with the connection here; it seems as if you have been typing forever. and there's nothing there.

Answer 9

I believe it is x value

Answer 10

sorry my computer just froze

Answer 11

im back now

Answer 12

Yes, cos is your x value. You're doing great! So let's draw that.

Answer 13

Your goal here is to find sin of that angle. In order to do that you need to find the hypotenuse, since the sin of an angle = side opposite the angle/hypotenuse, right? So can you find x?

Answer 14

Just a little light humor.

Answer 15

What do you need to do to find x?

Answer 16

yes here let me do it real quick

Answer 17

Cool!

Answer 18

ok i thought i new how but i would need the angles in order to do what i was thinking

Answer 19

Use Pythagorean's theorem. Yes? You know it?

Answer 20

oh yes i know that

Answer 21

2^2-9^2= 85 c^2= 85 c=9.2 ? i think this is right