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

The video tutorial explains how to evaluate double angles for sine, cosine, and tangent when given a cosine equation and a constraint that the angle is in the third quadrant. It covers drawing the right triangle, using the Pythagorean theorem, and applying formulas to calculate the double angles.

What is the initial equation given for evaluating double angles?

• cosine Theta equals 2/3

• sine Theta equals -2/3

• cosine Theta equals -2/3

• sine Theta equals 2/3

In which quadrant should the angle Theta be located according to the constraint?

• First quadrant

• Second quadrant

• Fourth quadrant

• Third quadrant

What is the value of the hypotenuse in the right triangle drawn in the third quadrant?

• 2

• 5

• sqrt 5

• 3

What is the formula used to calculate the sine of two Theta?

• sine of Theta plus cosine of Theta

• 2 sine of Theta cosine of Theta

• sine squared of Theta minus cosine squared of Theta

• 2 cosine of Theta sine of Theta

What is the result of the sine of two Theta calculation?

• sqrt 5 / 9

• -sqrt 5 / 9

• -4 sqrt 5 / 9

• 4 sqrt 5 / 9

Which formula is preferred for calculating the cosine of two Theta?

• sine squared of Theta minus cosine squared of Theta

• cosine of Theta plus sine of Theta

• 2 cosine of Theta sine of Theta

• cosine squared of Theta minus sine squared of Theta

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

• sqrt 5

• -sqrt 5

• -1/sqrt 5

• 1/sqrt 5