10.2 Angles of Rotation.notebook

10.2 Angles of Rotation.notebook
April 21, 2015
Homework
13)
Angles of Rotation
Draw angles in standard position.
17)
16)
18)
Determine the values of the trigonometric functions for an angle in standard position
19a) 147 m, b) 187 m
20a) 510 ft, b) 633 ft
21)
22)
23)
May 7­7:52 AM
Apr 28­2:36 PM
standard position
initial side terminal side Apr 28­2:36 PM
Apr 28­2:36 PM
1
10.2 Angles of Rotation.notebook
April 21, 2015
Draw an angle with the given measure in standard position. angle of rotation Apr 28­2:36 PM
Apr 28­2:36 PM
Bellwork: 4/17/15 Coterminal angles Find the measure of the supplement for each given angle.
1. 150°
2. 120° 3. 135°
4. 95°
5. Find the value of the cosecant, secant, and cotangent functions for θ.
Apr 28­2:36 PM
Apr 28­2:36 PM
2
10.2 Angles of Rotation.notebook
Find the measures of a positive angle and a negative angle that are coterminal with each given angle.
θ = 65°
θ = 500°
April 21, 2015
Bellwork: 4/21/15
A fireman rests his ladder against a building, making a 57° angle with the ground.
The boom of the ladder is 28 feet from the base of the building. How long is the ladder?
θ = 410°
θ = –120°
θ = 88°
Apr 28­2:36 PM
Bellwork: 4/20/15 PERIOD 2 ONLY
Ms. McDonald made a mistake in this problem: Apr 20­7:52 AM
reference angle
An observer on a sea cliff with a height of 12m spots an otter through a pair of binoculars at an angle of depression of 5.7°.
To the nearest meter, how far is the otter from the base of the cliff?
Apr 20­7:50 AM
Apr 28­2:36 PM
3
10.2 Angles of Rotation.notebook
April 21, 2015
Find the measure of the reference angle for each given angle. C. θ = 325°
Apr 28­2:36 PM
Apr 28­2:45 PM
P (–6, 9) is a point on the terminal side of θ in standard position. Find the exact value of the six trigonometric functions for θ. P(–3, 6) is a point on the terminal side of θ in standard position. Find the exact value of the six trigonometric functions for θ.
Apr 28­2:45 PM
May 13­10:54 AM
4