Trigonometric Functions and Equations

This video tutorial by Mark Heros on MathGuide.com explains how to solve trigonometric equations that involve factoring. The tutorial covers solving equations with cosine and tangent functions, as well as quadratic trigonometric equations. The method used involves reference triangles, avoiding the unit circle and graphing calculators. The video provides detailed steps and examples, helping viewers understand the process of factoring and solving these types of equations.

What method is used in the video to solve trigonometric equations?

• Algebraic substitution

• Graphing calculator

• Reference triangles

• Unit circle

What is the first step in solving the equation involving cosine and tangent?

• Subtract cosine from one side

• Divide both sides by cosine

• Add cosine to both sides

• Multiply both sides by tangent

What property is used to set the factors equal to zero?

• Addition property of equality

• Multiplication property of zero

• Commutative property

• Distributive property

In which quadrants is cosine positive?

• Third and fourth

• Second and third

• First and second

• First and fourth

What is the reference angle for cosine when the ratio is 0 over 1?

• 90 degrees

• 0 degrees

• 180 degrees

• 45 degrees

In which quadrants is tangent positive?

• First and third

• Second and third

• Third and fourth

• First and second

What is the reference angle for a 45-45-90 triangle?

• 30 degrees

• 90 degrees

• 45 degrees

• 60 degrees

What type of equation is solved in the second problem?

• Logarithmic equation

• Exponential equation

• Quadratic equation

• Linear equation

What is the first step in factoring the quadratic trigonometric equation?

• Multiply terms together

• Identify common factors

• Subtract terms from one side

• Add terms to both sides

In which quadrants is sine positive?

• Second and third

• Third and fourth

• First and second

• First and third