Simplifying a trigonometric expression using half angle formula

The video tutorial focuses on simplifying a trigonometric expression using the half angle formula. It begins by identifying the correct formula to apply, ruling out other trigonometric identities. The instructor explains the half angle formula and demonstrates how to simplify the given expression step-by-step, resulting in a more straightforward form. The tutorial emphasizes understanding the formula's application and the simplification process.

Which trigonometric identities were considered but ruled out in the initial simplification process?

• Difference of sine and cosine

• Sum of sine and cosine

• Product of sine and cosine

• Quotient of sine and cosine

What is the half angle identity for cosine related to?

• Secant of the angle

• Sine of the half angle

• Tangent of the angle

• Cosine of the double angle

What is the formula for the sine of a half angle?

• ± sqrt(1 + cos(U))/2

• ± sqrt(1 + sin(U))/2

• ± sqrt(1 - sin(U))/2

• ± sqrt(1 - cos(U))/2

How is the expression '16Y divided by two' simplified using the half angle formula?

• sec(8Y)

• sin(8Y)

• tan(8Y)

• cos(8Y)

What is the final simplified form of the expression using the half angle formula?

• cos(16Y)

• sec(8Y)

• sin(8Y)

• tan(16Y)