Tutorial - Given the Cosine of an Angle Determine the Double Angle for Sine, Cosine and Tangent

The video tutorial covers solving a trigonometric problem involving sine, cosine, and tangent of a given angle. It explains the constraints of the angle, the use of the unit circle, and constructing a triangle to find missing values. The tutorial then applies double angle formulas for sine, cosine, and tangent, demonstrating the calculations step-by-step. The session concludes with a Q&A to clarify any doubts.

What is the main goal of the problem discussed in the video?

• To find the values of sine, cosine, and tangent of 2u

• To solve a quadratic equation

• To determine the area of a triangle

• To calculate the derivative of a function

In which quadrant is the angle u located based on the given constraints?

• Fourth quadrant

• Third quadrant

• Second quadrant

• First quadrant

What is the sine of u if cosine of u is given as -2/3?

• -2/3

• 2/3

• -sqrt(5)/3

• sqrt(5)/3

Which formula is used to calculate sine of 2u?

• cosine u / sine u

• sine u / cosine u

• sine^2 u + cosine^2 u

• 2 sine u cosine u

What is the final result for sine of 2u?

• -4 sqrt(5)/9

• 4 sqrt(5)/9

• -2 sqrt(5)/3

• 2 sqrt(5)/3

Which formula is used to calculate tangent of 2u?

• 2 tangent u / (1 - tangent^2 u)

• tangent^2 u + 1

• cosine u / sine u

• sine u / cosine u

What is the final result for tangent of 2u?

• sqrt(5)/2

• -4 sqrt(5)

• 4 sqrt(5)

• -sqrt(5)/2