Mr. Norris

Algebra II

Unit circle worksheet

1. Converting from degress to radians (subtract 360 until angle is between 0 to359, then multiple by

0 = _____ 30 = _____ 45 = _____ 60 = _____

90 = _____ 120 = _____ 135 = _____ 150 = _____

180 = _____ 210 = _____ 225 = _____ 240 = _____

270 = _____ 300 = _____ 315 = _____ 330 = _____

450 = _____ 840 = _____ 1215 = _____ 960 = _____ 1800 = _____

Fill in answers for 0 330 into the unit circle section .

2.. Special Triangles

1

Name ___________________

Date _____________________

Period _______

_____

_

60

30

60

30

_____

_

_____

_

_____

_

_____

_

_____

45

45

_____

_

_____

_

_____

45

45

_____

_

_____

_

For unit

circle

For unit

circle

3. Fill in the coordinates for each point on the unit circle using special triangles

Sin 0 = ------ Sin 30 = ------- Sin 45 = ---------- Sin 60 = --------

Cos 0 = ------ Cos 30 = ------- Cos 45 = ---------- Cos 60 = --------

Tan 0 = ------ Tan 30 = ------- Tan 45 = ---------- Tan 60 = --------

Sin 90 = ------ Sin 120 = ------- Sin 135 = ---------- Sin 150 = --------

Cos 90 = ------ Cos 120 = ------- Cos 135 = ---------- Cos 150 = --------

Tan 90 = ------ Tan 120 = ------- Tan 135 = ---------- Tan 150 = --------

0

(____, ____)

30

(____, ____)

45

(____, ____)

60

(____, ____)

90

(____, ____)

120

(____, ____)

135

(____, ____)

150

(____, ____)

Sin 180 = ------ Sin 210 = ------- Sin 225 = ---------- Sin 240 = --------

Cos 180 = ------ Cos 210 = ------- Cos 225 = ---------- Cos 240 = --------

Tan 180 = ------ Tan 210 = ------- Tan 225 = ---------- Tan 240 = --------

Sin 270 = ------ Sin 300 = ------- Sin 315 = ---------- Sin 330 = --------

Cos 270 = ------ Cos 300 = ------- Cos 315 = ---------- Cos 330 = --------

Tan 270 = ------ Tan 300 = ------- Tan 315 = ---------- Tan 330 = --------

180

(____, ____)

210

(____, ____)

225

(____, ____)

240

(____, ____)

270

(____, ____)

300

(____, ____)

315

(____, ____)

350

(____, ____)

4. Fill in the unit circle information

360 = 0 = _____

(cos 0, sin 0)

(____,_____)

30 = _____

(cos 30, sin 30)

(____,_____)

60 = _____

(cos 60, sin 60)

(____,_____)

45 = _____

(cos 45, sin 45)

(____,_____)

90 = _____

(cos 90, sin 90)

(____,_____)

120 = _____

(cos 120, sin 120)

(____,_____)

135 = _____

(cos 135, sin 135)

(____,_____)

150 = _____

(cos 150, sin 150)

(____,_____)

180 = _____

(cos 180, sin 180)

(____,_____)

210 = _____

(cos 210, sin 210)

(____,_____)

225 = _____

(cos 225, sin 22)5

(____,_____)

240 = _____

(cos 240, sin 240)

(____,_____)

270 = _____

(cos 270, sin 270)

(____,_____)

300 = _____

(cos 300, sin 300)

(____,_____)

315 = _____

(cos 315, sin 315)

(____,_____)

330 = _____

(cos 330, sin 330)

(____,_____)

5. Graphing sine, cosine and tangent ( using the data from number 3) Pattern repeats every 2 in each direction

Sine

1

-2

-

0

2

3

4

5

-1

cosine

1

-2

-

0

2

3

4

5

-1

tangen

1

-2

-

0

2

3

4

5

-1