1. Starter a 6 c A 53° 84° 1.Use Law of Sines to calculate side c of the triangle. 2.Use the Law of Cosines to calculate side a of the triangle. 3.Now find the Area of a Triangle.

2. Inverse Sine The inverse of y = sin θ is y = sin -1 θ. Use y = sin -1 θ to find the angle. The angle sin -1 θ is also called the arcsine of θ. 42° 12 18 θ

3. Is y = sin θ a function? Domain: Range: Is y = sin -1 θ a function? Domain: Range: *Remember, to be a function, the graph must pass the Vertical Line Test. Inverse Sine

5. Use y = sin -1 θ to find the angle. Inverse Sine

6. Is y = cos θ a function? Domain: Range: Is y = cos -1 θ a function? Domain: Range: *Remember, to be a function, the graph must pass the Vertical Line Test. Inverse Cosine

7. Use y = cos -1 θ to find the angle. Inverse Cosine

8. *Remember, to be a function, the graph must pass the Vertical Line Test. Left end behavior: Right end behavior: Inverse Tangent

9. Use y = tan -1 θ to find the angle. Inverse Tangent

10. Composing Trig Functions