What you need to know | Analytic Trigonometry | Free Math Videos

This video tutorial covers key concepts in analytic trigonometry, including rationalizing denominators, simplifying rational expressions, solving quadratic equations, and evaluating trigonometric functions using the unit circle. The instructor provides detailed explanations and examples to help students understand and apply these mathematical techniques effectively.

What is the main purpose of rationalizing the denominator?

• To simplify the numerator

• To eliminate radicals from the denominator

• To convert fractions to decimals

• To add fractions

When rationalizing a denominator with a binomial, what should you multiply by?

• The reciprocal

• The conjugate

• The same binomial

• The square of the binomial

What is the first step in simplifying a rational expression?

• Adding the numerators

• Finding a common denominator

• Factoring the numerator and denominator

• Multiplying the fractions

How do you find a common denominator for adding fractions?

• Subtract the denominators

• Multiply the denominators

• Divide the numerators

• Add the numerators

What is the zero product property used for?

• Solving quadratic equations

• Simplifying fractions

• Finding common denominators

• Solving linear equations

Which method is NOT used for solving quadratic equations?

• Completing the square

• Cross-multiplying

• Factoring

• Using the quadratic formula

What does the cosine of an angle represent on the unit circle?

• The angle in degrees

• The Y-coordinate

• The radius

• The X-coordinate

What is the tangent of an angle on the unit circle?

• The X-coordinate

• The Y-coordinate

• The ratio of Y to X

• The angle in radians

Which angle corresponds to π/4 on the unit circle?

• 90 degrees

• 30 degrees

• 45 degrees

• 60 degrees

What is the sine of 90 degrees on the unit circle?

• 1

• 0

• 1/2

• sqrt(2)/2