welli was given a triangle wit a=36 degrees
a=8
b=5

and I did sin b and it was .3673
but then next to it is an error and it is equal to 21.6
how did they get 21.6?
I am trying to figure this out on a graphing calculator but I don't know how after .3673 they got 21.6

helppp.thanks.

Well, you're correct so far. Based on the given info and the Law of Sines, the sine of Angle B is 0.3673, just as you've figured.

But to wrap up, you need to find the measure of Angle B such that sin(B) = 0.3673. Then you can call it a day.

Well, you're correct so far. Based on the given info and the Law of Sines, the sine of Angle B is 0.3673, just as you've figured.

But to wrap up, you need to find the measure of Angle B such that sin(B) = 0.3673. Then you can call it a day.

How do u find that measure?
Cause I've been trying to figure that out and I can't on the graphing calculator

It's the inverse sine function, and on many calculators it's denoted by the key sin^{-1} .

Being the inverse of the sine function, it takes a sine value as the input argument, and returns the angle measure which has that value for its sine.

For example, since sin(36) is approx 0.5878, then sin^{-1} (0.5878) = 36 (degrees).

Good to go?

It's good to know that sin^{-1} is also known as arcsine :D

Yep, the former Mrs. ArcSine used to say that I was an inverse function--I never knew quite how to take that.

Of course, she also used to remind me daily that the Law of Sines was this: Around the Sine household, whatever she says is law.

No complaints from me, though, what with her intoxicating sine curves and harmonic motion... ;)

LMAO! :p