Inverse Trig Functions Law of the Sines

1. Inverse Trig Functions Law of the Sines 1 Notation 2 Inverse Trig Functions, Law of the Sines & Requirements 3 Practice Problems

2. Notation • New variables for angles • Alpha • Beta • Gamma • Theta

3. Inverse Trig Functions • Arcsine • sin-1 • Arc-cosine • cos-1 • Arctangent • tan-1

4. Inverse Trig Functions(Cont.) • Reverse the trig function process, where: the arc functions provide for:

5. Inverse Trig Functions Example • Solve to the nearest degree:

6. Area of a Triangle

7. Area of a Triangle Example • Find the area of the triangle given B=85˚, c=23 ft., and a=50 ft. to the nearest tenth.

8. Law of the Sines

9. Law of the Sines • Requirements • Two sides and an angle opposite to one of them • SSA • Two angles and any side • AAS or ASA • If these conditions are not met, the problem cannot be solved with the Law of the Sines

10. Example

11. Example (Cont.)

12. Tips • Check your calculator settings • Make sure you are in degree mode when working with degrees and in radian mode when working with radians!!!! • Remember the sum of all angles in a triangle is 180 degrees or pi radians • Not all problems can be solved with the Law of Sines