3.3-3.4 Quiz

How to... given a trigonometric equation solve using algebra? (5)

1. Follow the order of operations 2. Check if higher-degree expression can be factored 3. Rewrite with common denominators 4. Substitute trigonometric function with variable such as u 5. Utilize identities developed in the previous sections

What period is used to solve sine and cosine functions?

2pi

For sine and cosine functions, when we need to find all possible functions we add what?

2piK

What is K?

An integer

Double angle formulas are a special case of sum formulas where alpha = ______________?

Beta

We will use what to solve a trigonometric equations?

Over a specified interval

What period is used to solve trigonometric equations of tangent and cotangent?

Pi

trigometric equations are equations that involve what?

Trigonometric functions

Double angle identities simplified: cos(2θ)?

cos(2θ) = cos^2θ - sin^2θ = 1-2sin^2θ = 2cos^2θ - 1

To find all possible solutions of tangent and cotangent, what do you add?

piK

Double angle identities simplified: sin(2θ)?

sin(2θ) = 2sinθ cosθ

Double angle identities simplified: tan(2θ)?

tan(2θ) = 2tanθ/1-tan^2 θ

Quadratic Formula

x = -b ± √(b² - 4ac)/2a