Algebra 2H Final Review

π/6 or 30º

(√3/2, 1/2)

π/4 or 45º

(√2/2, √2/2)

π/3 or 60º

(1/2, √3/2)

π/2 or 90º

(0, 1)

2π/3 or 120º

(-1/2, √3/2)

3π/4 or 135º

(-√2/2, √2/2)

5π/6 or 150º

(-√3/2, 1/2)

π or 180º

(-1, 0)

7π/6 or 210°

(-√3/2, -1/2)

5π/4 or 225°

(-√2/2, -√2/2)

4π/3 or 240°

(-1/2, -√3/2)

3π/2 or 270°

(0, -1)

5π/3 or 300°

(1/2, -√3/2)

7π/4 or 315°

(√2/2, -√2/2)

11π/6 or 330°

(√3/2, -1/2)

2π or 360°

(1, 0)

degrees to radians

π /180

length (s) of circular arc (r = radius, θ = radians)

s = rθ

area of circular sector (A = area, r = radius, θ = central angle)

A = 1/2r²θ

linear speed

v = s/t

angular speed

w = θ/t

relationship between linear and angular speed

v = rw

sin²θ + cos²θ

1

tan²θ + 1

sec²θ

area of a triangle

A = 1/2basinθ

cot²θ + 1

csc²θ

law of sines

sinA/a = sinB/b = sinC/c

law of cosines

a² = b² + c² - 2bc*cosA