Question

I NEED help ..please help me with this I have a picture here

Answer 1

HOW DO I FIND THE ANGLE

Answer 2

Anyone?

Answer 3

Not the 90 degree one the other one

Answer 4

Do you know SohCahToa?

Answer 5

yea...but idk how to use it here

Answer 6

So if i asked you to fill in the blank, what would you put in for "o" and "h" ?
\[\sin \theta = {o \over h}\]

Answer 7

i have no idea
I KNOW
ummm
3/5

Answer 8

Correct!! Now, how would you go about solving for theta?? Have you learned about arcsin?

Answer 9

no no i have not

Answer 10

what is that?

Answer 11

The arcsin function "undoes" the sin function. If you take the arcsin of both sides you can solve for theta.
I'm trying to remember if there is another way of doing so without knowing the inverse trig functions.

Answer 12

ohh ....can you still help me though?

Answer 13

give me a minute to look something up.

Answer 14

Ya, there is no way you can solve for the angle without being taught inverse trig functions. Did you miss a day of class or are you trying to do your homework early?

Answer 15

Uggghh summer packet

Answer 16

If you missed class, here's a good explanation of how to use the inverse trig functions. http://www.mathsisfun.com/algebra/trig-finding-angle-right-triangle.html

Answer 17

is this it
arcsin(y) = sin-1(y) = x + 2kπ

Answer 18

not quite. the inverse trig functions work like this:
\[\sin \theta = {o \over h}\]
\[\sin^{-1} {o \over h} = \theta\]

The sine and arcsine function are just an example. all trig functions have inverse functions.

Answer 19

Does that help?

Answer 20

i guess

Answer 21

You know how whatever you do to one side of the equation you have to do to the other? Well the first equation has what we want but it's "inside" this sine function right?
So this inverse trig function called, arcsin, or sin^(-1) would be taken on both sides of the equation. Since arcsin(sin(theta)) = theta, we get the second equation. Does that help any better?

Answer 22

Here's a good, short video discribing it as well. PatrickJMT videos rock btw. :D
http://patrickjmt.com/finding-an-angle-given-the-value-of-a-trigonometric-function-example-1/

Answer 23

you could also just use the parathagoream thm x^2 + 4^2 =5^2