Simplifying a trigonometric expression using half angle formula

The video tutorial explains how to simplify a trigonometric expression using the half angle formula. It begins by identifying the correct formula to apply, then demonstrates the simplification process step-by-step, resulting in a simplified expression. The focus is on understanding the application of the half angle formula in trigonometry.

Which trigonometric formulas were considered and ruled out before identifying the half-angle formulas as relevant?

• Triple angle formulas

• Product of angles

• Difference of sine, cosine, and tangent

• Sum of angles

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

• ± sqrt(1 - cosine U) / 2

• ± sqrt(1 - sine U) / 2

• ± sqrt(1 + cosine U) / 2

• ± sqrt(1 + sine U) / 2

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

• As the cosine of 8 Y

• As the sine of 16 Y

• As the tangent of 8 Y

• As the sine of 8 Y

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

• The tangent of 16 Y

• The sine of 8 Y

• The cosine of 8 Y

• The sine of 16 Y

Why is it important to identify the correct formula for simplification?

• To convert the expression to a different function

• To avoid unnecessary calculations

• To apply the correct trigonometric identity

• To ensure the expression is expanded