Unit Circle

π/3

(1/2, √3/2)

π/4

(√2/2, √2/2)

π/6

(√3/2, 1/2)

Quadrant 1

(+, +)

Quadrant 2

(-, +)

Quadrant 3

(-, -)

Quadrant 4

(+, -)

What quadrant is 2π/3 in?

2

What quadrant is 3π/4 in?

2

What quadrant is 5π/6 in?

2

What quadrant is 7π/6 in?

3

What quadrant is 5π/4 in?

3

What quadrant is 4π/3 in?

3

What quadrant is 11π/6 in?

4

What quadrant is 7π/4 in?

4

What quadrant is 5π/3 in?

4

2π

(1, 0)

π/2

(0, 1)

π

(-1, 0)

3π/2

(0, -1)

from radians to degrees

angle/1 × 180/π

from degrees to radians

angle/1 × π/180°

is sin y or x?

y

is cos y or x?

x

how do you get tan?

sin / cos

what is sin’s parallel?

csc

what is cos’s parallel?

sec

what is tan’s parallel?

cot

(x, y)

(cos, sin)

how do you get csc?

1/sin

how do you get sec?

1/cos

how do you get cot?

1/tan

what’s the abbreviation to remember the quadrants?

all students take calculus

**a**ll

quadrant 1, sin+/cos+/tan+

**s**tudents

quadrant 2, sin+

**t**ake

quadrant 3, tan+

**c**alculus

quadrant 4, cos+

what shape do the quadrants make?

bow tie

Reference angles will always be…

acute and positive

Reference angles: ______ distance to ___________

shortest, x-axis

π/3 will always be..

π/3

π/4 will always be…

π/4

π/6 will always be…

π/6