Trigonometric Functions and Equations

This video tutorial focuses on solving trigonometric equations involving half angles, multiple angles, and substitutions. It covers solving equations with sine and cosine functions, using reference angles, and converting solutions to radians. The tutorial also explains the use of trigonometric identities and substitution methods to simplify and solve complex equations.

What is the main focus of the video tutorial?

• Solving exponential equations

• Solving quadratic equations

• Solving trigonometric equations with half and multiple angles

• Solving linear equations

When solving a half angle equation, what substitution is used?

• Let the half angle equal T

• Let the angle equal W

• Let the half angle equal U

• Let the angle equal V

In which quadrants is the sine function positive?

• First and third

• Second and fourth

• First and second

• Third and fourth

What is the reference angle for a cosine ratio of √3/2?

• 45 degrees

• 60 degrees

• 90 degrees

• 30 degrees

How do you solve for X when given 3X = 30 degrees?

• Divide both sides by 3

• Add 30 to both sides

• Subtract 30 from both sides

• Multiply both sides by 3

What substitution is used for cosine 2 theta?

• 2 sine square theta - 1

• 2 secant square theta - 1

• 2 cosine square theta - 1

• 2 tangent square theta - 1

In which quadrants is the cosine function negative?

• First and second

• Second and third

• Third and fourth

• First and fourth

What is the cosine of 60 degrees?

• 0

• 1/2

• √2/2

• √3/2

What is the reference angle for a sine of 0?

• 90 degrees

• 60 degrees

• 180 degrees

• 0 degrees

What is the radian measure for 300 degrees?

• π/3

• 5π/3

• 4π/3

• 2π/3