Download Quadrantal Angles

Quadrantal Angles
At 0 we use the coordinate____________
At 90 we use the coordinate___________
At 180 we use the coordinate__________
At 270 we use the coordinate__________
Evaluate.
1. sin 0 = _____________
2. cos 0 = ______________
sin 90 = _____________
cos 90 =______________
sin 180 = _____________
cos 180 = ______________
sin 270 = _____________
cos 270 = ______________
sin 360 = _____________
cos 360 = ______________
3. tan 0= _____________
4. csc 0 = ______________
tan 90= _____________
csc 90 = ______________
tan 180= _____________
csc 180 = _____________
tan 270= _____________
csc 270 = _____________
tan 360= _____________
csc 360 = _____________
5. sec 0 = ______________
6. cot 0 = _______________
sec 90 = ______________
cot 90 = _______________
sec 180 = ______________
cot 180 = ______________
sec 270 = ______________
cot 270 = ______________
sec 360 = ______________
cot 360 = ______________
REFERENCE ANGLES AND SPECIAL TRIANGLES
I. Draw the triangles used to determine the trigonometric values for:
A. 45
B. 30 or 60
II. Identify the coordinates used to determine the trig functions of
quadrantal angles.
r = ________
III. Complete the formula for the trigonometric functions using x, y, and r.
1. sin  = _________
2. cos  = _________
3. tan  = _________
4. csc  = __________
5. sec  = __________
4. cot  = _________
IV. Evaluate the following:
1. cos 180 = ______
2. tan 45 = _________
3. sin 0 = _________
4. sec 60 = _______
5. sec 90 = ________
6. cot 60 = ________
7. sin 30 = _______
8. sin 45= _________
9. cos 45 = _______
V. Give the reference angle for each angle.
1. 330 = ______
2. 315 = _______ 3. 240 = _______ 4. -210 = ______
VI. Evaluate.
1.
sin 150
2.
cos (-60)
3.
cos 120
4.
sin (-315)
5.
cot 300
6.
sec 330
7.
tan 225
8.
csc 240
9.
sin 135
10.
tan 210