Major Trigonometry + Unit Circle Values

Sin 30°

1/2

Cos 30°

√3/2

Tan 30°

√3/3

Sin 45°

√2/2

Cos 45°

√2/2

Tan 45°

1

Sin 60°

√3/2

Cos 60°

1/2

Tan 60°

√3

What is the radius of the unit circle?

1

What do the ordered pairs represent?

(cos θ, sin θ)

What are the degrees of the first(right) quadrantal?

Start = 0°

End = 360°

What is the ordered pair of the first(right) quadrantal?

(1, 0)

What is the degree of the second(top) quadrantal?

90°

What is the ordered pair of the second(top) quadrantal?

(0, 1)

What is the degree of the third(left) quadrantal?

180°

What is the value of the ordered pair of the third(left) quadrantal?

(-1, 0)

What is the degree of the fourth(bottom) quadrantal?

270°

What is the ordered pair of the fourth(bottom) quadrantal

(0, -1)

What are the degree values in order from 0?

0, 30, 45, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330, 360

What are the positives and negatives of quadrant I?

Positive: ALL

Negative: None

What are the positives and negatives of quadrant II?

Positive: Sine, Cosecant

Negative: Cosine, Secant, Tangent, Cotangent

What are the positives and negatives of quadrant III?

Positive: Tangent, Cotangent

Negative: Sine, Cosecant, Cosine, Secant

What are the positives and negatives of quadrant IV?

Positive: Cosine, Secant

Negative: Sine, Cosecant, Tangent, Cotangent

What are the 6 main ordered pairs there can be?

30° = (√3/2 , 1/2) or negated

45° = (√2/2 , √2/2) or negated

60° = (1/2, √3/2) or negated

0° radian

0

30° radian

π/6

45° radian

π/4

60° radian

π/3

90° radian

π/2

120° radian

2π/3

135° radian

3π/4

150° radian

5π/6

180° radian

π

210° radian

7π/6

225° radian

5π/4

240° radian

4π/3

270° radian

3π/2

300° radian

5π/3

315° radian

7π/4

330° radian

11π/6

360° radian

2π