1. Objective: L14-1Verify Trig identies

5. Obj: L14.2 Evaluate inverses of trig functions
For each function f, find f-1
1. f(x)=x+1
2. f(x)=2x-3

8. 1. 2sin ө = √2 4. 3tan ө - 1 = tan ө (calc.)
2. 2cos ө - √3 = sin ө - √2 = 0

9. 4. 3tan ө - 1 = tan ө (calc.)

10. Warm Up (get a calculator)
1. sin 30° 6
2. sin 45° 4
3. sin 60° 9

11. L14-4 Obj: Students will be able to find the area of any triangle and use the Law of Sines

12. Ex 1: Find the area of the triangle shown below.
The area K = bc sin A. 1 2
b = 23, and since sin 25° = , h = 40 sin 25°. h 40
So K = (23)(40 sin 25°) cm2. 1 2

13. Find the area

15. Ex 2: In ABC, m A = 33°, m C = 64°, and BC = 8 cm.
Find AC.

16. Ex 3: In PQR, p = 7 in., q = 10 in., and m Q = 98°. Find m R.

17. Ex 4: Two observers view the same mountain peak from two points on level ground and 2 miles apart, as shown in the diagram. The angle of elevation at T to the peak for the observer most distant from the mountain is 31°. For the other observer, the angle of elevation at S to the peak is 58°.
a. Find TK, the distance from T to the summit.
b. Find RK, the height of the mountain.

20. HW L all L e L14.4 (p817)#1-22