Objective: L14-1Verify Trig identies

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Objective: L14-1Verify Trig identies

Presentation transcript:

Objective: L14-1Verify Trig identies

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

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

4. 3tan ө - 1 = tan ө (calc.)

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

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

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°) 194.4 cm2. 1 2

Find the area

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

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

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.

HW L14.1 9-34all L14.2 16-32e L14.4 (p817)#1-22