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

The video tutorial explains how to evaluate the double angles of sine, cosine, and tangent when given specific values and constraints. It begins with constructing a triangle in Quadrant 2 and using the Pythagorean theorem to find the sides. The instructor then demonstrates how to calculate the sine, cosine, and tangent of the double angle, providing detailed steps and calculations for each. The video emphasizes understanding the constraints and correctly applying mathematical formulas to solve the problems.

What is the first step in evaluating double angles for trigonometric functions?

• Determine the angle in radians

• Find the tangent of the angle

• Calculate the hypotenuse

• Identify the quadrant and constraints

In which quadrant is the triangle constructed for this problem?

• Quadrant 1

• Quadrant 4

• Quadrant 2

• Quadrant 3

What theorem is used to find the missing side of the triangle?

• Cosine Rule

• Sine Rule

• Pythagorean Theorem

• Tangent Rule

Which formula is used to calculate the double angle for sine?

• sin^2(Theta) - cos^2(Theta)

• cos(2Theta) + sin(2Theta)

• tan(Theta) / 2

• 2 * sin(Theta) * cos(Theta)

What is the result of the double angle for cosine using the given values?

• -161/289

• 161/289

• 225/289

• 64/289

Which operation is crucial in simplifying the tangent double angle expression?

• Multiplication by reciprocal

• Division by zero

• Subtraction

• Addition

What is the final result for the tangent double angle in this problem?

• 240/161

• -240/161

• 161/240

• -161/240