Given an angle and constraint find the six trig functions of the angle

The video tutorial explains how to evaluate all six trigonometric functions using either the unit circle or a triangle. It focuses on a scenario where the cotangent of Theta is negative, which is not on the unit circle. The instructor guides through determining the correct quadrant for drawing a triangle, using the Pythagorean theorem to find the hypotenuse, and evaluating trigonometric identities. The process includes rationalizing denominators and understanding reciprocal identities.

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

• To find the area of a triangle

• To evaluate all six trigonometric functions

• To solve a quadratic equation

• To calculate the derivative of a function

Why is the triangle drawn in the 4th quadrant?

• Because tangent is positive

• Because both X and Y are positive

• Because cosine is positive and cotangent is negative

• Because sine is positive

What method is used to calculate the hypotenuse of the triangle?

• Law of Sines

• Law of Cosines

• Trigonometric Identities

• Pythagorean Theorem

What is the value of the hypotenuse calculated using the Pythagorean theorem?

• sqrt 5

• sqrt 10

• sqrt 15

• sqrt 20

How is the sine of Theta calculated in the video?

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Opposite over adjacent

• Opposite over hypotenuse

What is the reciprocal of the sine function called?

• Secant

• Tangent

• Cosecant

• Cotangent

What is the value of the cotangent of Theta as given in the video?

• -3

• 3

• 1/3

• -1/3