Solve trigonometric equation by factoring with sine and cosine

The video tutorial explains how to isolate and solve trigonometric functions using factoring and inverse operations. It covers the process of factoring out common elements, solving equations using the unit circle, and identifying angles where cosine and sine meet specific conditions. The tutorial also discusses reference angles and their positions in different quadrants.

What is the primary method suggested for solving the problem when isolating sine or cosine is not feasible?

• Using substitution

• Applying the quadratic formula

• Factoring

• Graphing the functions

When factoring out a common term, what should you do to ensure the factorization is correct?

• Guess and check

• Use a calculator

• Multiply the factors back together

• Check the original equation

What equation do you get after factoring out cosine in the given problem?

• cosine of X = 0

• 2 sine of X - 1 = 0

• cosine of X = 1

• sine of X = 0

Which angles on the unit circle have an X-coordinate of zero?

• π and 2π

• 0 and π

• π/2 and 3π/2

• π/4 and 3π/4

What is the reference angle for sine when the Y-coordinate is 1/2?

• π/3

• π/4

• π/6

• π/2