Math Pre-Calc Knowledge

sin (theta) (ratio)

opp/hyp

cos (theta) (ratio)

adj/hyp

tan (theta) (ratio)

opp / adj

csc (theta) (ratio)

hyp/opp

sec (theta) (ratio)

hyp / adj

cot (theta) (ratio)

adj / opp

csc (theta) (FI)

sec (theta) (FI)

tan (theta) (FI)

cot (theta) (FI)

cot (theta) (FI 2)

sin and cos Pythagorean identity

tan and sec Pythagorean identity

cot and csc Pythagorean Identity

sin (-theta) = ?

-sin(theta)

cos (-theta) = ?

-cos(theta)

tan (-theta) = ?

tan(-theta)

sin 2x = ?

2 sinx cosx

cos2x = ?

sin²(x)=?

cos²(x)=?

Property 1 of fractions.

Property 2 of fractions.

Property 3 of fractions.

Property 4 of fractions.

Property 5 of fractions.

Property 6 of Fractions.

Law 1 of Exponents

Law 1 of Exponents Description

Law 2 of Exponents

Law 2 of Exponents Description

Law 3 of Exponents

Law 3 of Exponents Description

Law 4 of Exponents

Law 4 of Exponents Description

Law 5 of Exponents

Law 5 of Exponents Description

Law 6 of Exponents

Law 6 of Exponents Description

Law 7 of Exponents

Law 7 of Exponents Description

Property 1 of Nth Roots

Property 2 of Nth Roots

Property 3 of Nth Roots

Property 4 of Nth Roots

Property 5 of Nth Roots

For any rational exponent m/n in lowest terms, where m and n are integers and n > 0:

Process to Simplify a Compound Fraction (Description)

Process to Simplify a Compound Fraction (Drawn)

Multiplication Property and Addition Common Error 1

Multiplication Property and Addition Common Error 2

Multiplication Property and Addition Common Error 3

Multiplication Property and Addition Common Error 4

Multiplication Property and Addition Common Error 5

Multiplication Property and Addition Common Error 6

Strategy for Evaluating if a Fraction Addition Error was Just Made (Drawing)

Strategy for Evaluating if a Fraction Addition Error was Just Made (Description)

To verify that the equations in the right-hand column are wrong, simply substitute numbers for a and b and calculate each side.

45-45-90 Special Right Triangle

30-60-90 Special Right Triangle

Graph of sin(x)

Graph of cos(x)

Graph of tan(x)

Way to generate many solutions for functions over period 2pi

Add 2pi to the given fraction multiple times.

Way to solve a trigonometric equation involving a multiple of an angle.

Use trig identities or other algebra to isolate the equation with the multiple of an angle, then evaluate the result as if there is no multiple. Then, perform algebra with the angle in the original period to find the answer.

How to perform algebra with a multiple of an angle and a value of a trig equation to get the answer.

The Quadratic Formula

30­° (Unit Circle)

60° (Unit Circle)

60° (Unit Circle)

90° (Unit Circle)

120° (Unit Circle)

135° (Unit Circle)

150° (Unit Circle)

180° (Unit Circle)

210° (Unit Circle)

225° (Unit Circle)

240° (Unit Circle)

270° (Unit Circle)

300° (Unit Circle)

315° (Unit Circle)

330° (Unit Circle)

360° (Unit Circle)