Given any point, evaluate your six trig functions - Cool Math

The video tutorial explains how to evaluate trigonometric functions for points not on the unit circle by constructing a right triangle. It covers the calculation of the hypotenuse using the Pythagorean theorem and demonstrates how to find the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. The tutorial emphasizes the use of reciprocal properties for these functions.

What is the main challenge when dealing with points not on the unit circle?

• Finding the angle

• Identifying the terminal side

• Using the unit circle directly

• Evaluating trigonometric functions

Which theorem is used to find the hypotenuse of the triangle?

• Sine Rule

• Cosine Rule

• Pythagorean Theorem

• Tangent Rule

What is the simplified form of the hypotenuse in this problem?

• sqrt(29)

• sqrt(116)

• 4 * sqrt(29)

• 2 * sqrt(29)

How is the sine of Theta calculated in this context?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Hypotenuse over opposite

• Adjacent over opposite

What is the rationalized form of cosine of Theta?

• 5 * sqrt(29) / 29

• 10 / sqrt(29)

• -2 * sqrt(29) / 29

• -4 / sqrt(29)

Which trigonometric function is the reciprocal of sine?

• Cotangent

• Cosecant

• Tangent

• Secant

What is the simplified form of cotangent in this problem?

• 10 / -4

• -4 / 10

• sqrt(29) / 5

• 2 / sqrt(29)