Master Evaluating the half angle for sine, cosine, and tangent given a right triangle

The video tutorial demonstrates how to evaluate trigonometric expressions using half angle formulas. It begins with an introduction to the concept and the necessity of using these formulas for sine, cosine, and tangent. The instructor then calculates the hypotenuse of a right triangle using the Pythagorean theorem. Following this, the video provides detailed steps for evaluating sine, cosine, and tangent using their respective half angle formulas, including simplification and rationalization of results.

What is the purpose of using half angle formulas in trigonometry?

• To determine the length of the hypotenuse

• To calculate the area of a triangle

• To evaluate trigonometric expressions for half of an angle

• To find the full angle values of sine, cosine, and tangent

Which theorem is used to find the hypotenuse when it is not given?

• Pythagorean Theorem

• Cosine Rule

• Sine Rule

• Tangent Rule

In the half angle formula for sine, what operation is performed between 1 and cosine of Theta?

• Division

• Multiplication

• Subtraction

• Addition

What is the final simplified form of the sine half angle formula in the video?

• sqrt(2)/20

• sqrt(2)/10

• 7/10

• 1/25

How does the cosine half angle formula differ from the sine half angle formula?

• It adds instead of subtracts

• It uses multiplication instead of division

• It uses a different trigonometric function

• It does not require rationalization

What is the final result of the cosine half angle formula in the video?

• 7 sqrt(2)/10

• 1/7

• sqrt(2)/10

• 5 sqrt(2)/10

Which formula is preferred for calculating the tangent of a half angle?

• The one with a binomial denominator

• The one with a polynomial denominator

• The one with a monomial denominator

• The one with a trigonometric identity