How do I use sin, cos, tan, and their inverse functions to find missing values?

Question

I feel rather silly asking this question on here, but I have been looking up videos on how to do the trig functions sin, cos, tan, and their inverse functions and still cannot understand. I was wondering if anyone on here would be able to help better explain it to me?

Answer 1

use a pneumatic device, one word "sohchatoa" to remember the relationship

soh means sinA= opposite side over hypotenuse

cah means cosA = adjacent side over hypotenuse

toa means tanA = opposite side over adjacent side

then remember the inverse trig fuctions

sinA = 1/cscA

cosA = 1/secA

tanA = 1/cscA

if you know opposite and adjacent side you can find the hypotenuse using the Pythagorean Theorem

or if you know the hypotenuse and one other side, you can find the 3rd side, using the Pythagorean Theorem