Trigonometry - Exam 1

Degrees to Radians

multiply by pi/180

Radians to Degrees

multiply by 180/pi

Arc Length on a Circle

S = rθ

Area of a Sector

A=1/2θr²

Sine/Sin

Y

Cosine/Cos

X

Phythagorean Identity

(Leg 1)² + (Leg 2)² = Hypotenuse²

Cosecant

1/sin

Secant

1/cos

Cotangent

cos/sin

Tangent

sin/cos

To rationalise a denominator

Multiply top & bottom by √

Even Functions

f(-x)=fx)

Odd Function

f(-x)=-f(x)

The odd functions are

Sin/Tan/Csc/Cot

The Even Functions are

Cos/Sec

Sin & Cos have periods of

2 pi

Domain of Sin and Cos

(-∞,∞)

Range of Cos and Sin

[-1,1]

Count

Period/4

Amp

number in front of sin/cos

Period of sin and Cos formula

2pi/B

Phase shift of Cos and SIn

C/B (Left if Bx+C)(Right if Bx-C)

Vertical Shift

D

Gen Formula of Sin and Cos function

f(x)=Asin(Bx-C) + D

Graphs of Tan and Cot have vert asymptotes

a/0

Graphs of Tan and Cot have periods

pi/B

Graphs of Sec/Csc have Period of

2pi