Evaluate cosine sum and difference formula

The video tutorial covers the cosine angle addition formula, demonstrating how to apply it by plugging in values and using the unit circle for evaluation. It emphasizes the importance of understanding the unit circle and simplifying trigonometric expressions. The tutorial also discusses factoring out common terms in expressions, providing insights into common mistakes and best practices for solving trigonometric problems.

What is the formula for the sum of two angles in trigonometry?

• cos(U + V) = cos(U)cos(V) - sin(U)sin(V)

• cos(U + V) = cos(U)sin(V) + sin(U)cos(V)

• cos(U + V) = sin(U)sin(V) + cos(U)cos(V)

• cos(U + V) = sin(U)cos(V) - cos(U)sin(V)

In which quadrant is the angle 7π/4 located?

• First Quadrant

• Second Quadrant

• Third Quadrant

• Fourth Quadrant

What is the cosine of 5π/6?

• Negative sqrt(2)/2

• Negative sqrt(3)/2

• Positive sqrt(3)/2

• Positive sqrt(2)/2

Why can't you subtract sqrt(2) and sqrt(6) directly?

• They are both positive

• They are both negative

• They are not in the same quadrant

• They are not the same radicand

What is the simplified form of -sqrt(6)/4 + sqrt(2)/4?

• sqrt(2)/4 * (1 + sqrt(3))

• sqrt(3)/4 * (1 - sqrt(2))

• sqrt(6)/4 * (1 + sqrt(2))

• sqrt(2)/4 * (1 - sqrt(3))

What common factor can be factored out from -sqrt(6)/4 + sqrt(2)/4?

• sqrt(3)/4

• sqrt(2)/4

• sqrt(6)/4

• sqrt(1)/4

When simplifying expressions for multiple-choice questions, what is often done?

• Adding common terms

• Dividing by common terms

• Factoring out common terms

• Multiplying by common terms