Master Evaluating the double angle for Sine, Cosine and Tangent, given an angle and constraint ex 3

The video tutorial explains how to evaluate the double angles of sine, cosine, and tangent given an equation and a constraint. It begins by introducing the concept and the need to create a right triangle. The tutorial then demonstrates the calculations for sine, cosine, and tangent of double angles using specific formulas. Each step is explained in detail, including the use of the Pythagorean theorem and the manipulation of fractions. The video concludes with a summary of the evaluation process.

What is the first step in evaluating double angles for trigonometric functions when given an equation?

• Identify the hypotenuse

• Create a right triangle

• Calculate the tangent

• Use the double angle formula

How can you express cotangent as a fraction?

• As a ratio of opposite over adjacent

• As a ratio of adjacent over opposite

• As a ratio of hypotenuse over adjacent

• As a ratio of hypotenuse over opposite

What theorem is used to find the hypotenuse of a triangle?

• Sine Rule

• Cosine Rule

• Tangent Rule

• Pythagorean Theorem

What is the formula for sine of double angle?

• cosine squared Theta minus sine squared Theta

• 2 tangent Theta divided by 1 minus tangent squared Theta

• sine squared Theta minus cosine squared Theta

• 2 sine Theta cosine Theta

How do you simplify the expression 6 / sqrt 100?

• 3/5

• 6/10

• 1/2

• 2/3

What is the formula for cosine of double angle?

• 2 sine Theta cosine Theta

• sine squared Theta minus cosine squared Theta

• cosine squared Theta minus sine squared Theta

• 2 tangent Theta divided by 1 minus tangent squared Theta

What is the final simplified result for tangent of two Theta?

• 4/5

• 2/3

• 3/4

• 1/2