Question

Find the exact values for remaining trig functions:
cos theta =12/13, 3pi/2 12 years ago

Answer 1

First off, can you tell in which quadrant \(\large \theta\) lies?

Answer 2

4th quadrant

Answer 3

Okay, so let's draw.

Fourth quadrant, yeah?

Answer 4

Yup

Answer 5

cos theta means x = r, correct?

Answer 6

So the x-value is 12

Answer 7

and the r-value is 13, r being the radius.

Answer 8

Using your knowledge of the pythagorean theorem, what must y be equal to?

Answer 9

5

Answer 10

Almost, but not quite.
Do note that we are on the negative side of the y-axis ;)
(Here's where the fact that we are on the fourth quadrant kicks in.)

Answer 11

-5

Answer 12

There we go :D
can you find the other trig functions now?

Answer 13

Makes sense now! I forgot I had to find the SohCahToa stuff. Thanks.

Answer 14

No problem.
Post your answers if you please :3

Answer 15

sin= -5/13
tan= -5/12
cot= -12/5
sec= 13/12
csc= -13/5

Answer 16

Nicely done :)

Answer 17

Thanks again :)