1. Principal Values of the Inverse Trig Functions

2. 90˚
120˚
60˚
135˚
45˚
150˚
30˚
180˚
0˚& 360˚
210˚
330˚
225˚
315˚
240˚
300˚
270˚

3. Arcsin is found the same way as sin-1
When you find the Arcsin (Arccos, Arctan, etc.) of a number, your answer will be an angle (either in degrees or radians).
Arcsin & sin are inverses of each other (also
cos, & tan respectively).
When your answer isn’t an angle measure (as in,
“sin(Arcsin x)”), then it should be written as an
exact ratio (not decimal)…for this assignment :)

4. Ex. Arctan is found the same way as tan-1

5. Ex. Arcsin & sin are inverses of each other (also cos, & tan respectively).
We take the sin of ANGLES & Arcsin of #s.
Follow the order of operations.

6. Here are some more examples…
In other words, what is the
cos of the angle whose sin=1/2 ?
For this last example, on a calculator, it must be in radian mode.