Master given a point, evaluate the six trigonometric functions

The video tutorial explains how to evaluate six trigonometric functions using a point on the terminal side of an angle. It covers plotting points, creating right triangles, and applying the Pythagorean theorem to find the hypotenuse. The tutorial also demonstrates calculating sine, cosine, and tangent, as well as their reciprocal functions, with a focus on rationalizing denominators.

What is the first step in evaluating trigonometric functions when given a point on the terminal side of an angle?

• Plot the point on the coordinate plane

• Find the reciprocal functions

• Identify the hypotenuse

• Calculate the sine of the angle

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

• Pythagorean theorem

• Tangent theorem

• Cosine rule

• Sine rule

How is the sine of an angle calculated in a right triangle?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Hypotenuse over opposite

• Adjacent over opposite

What is the reciprocal of the sine function?

• Secant

• Cosecant

• Tangent

• Cotangent

In the new example, what is the value of the hypotenuse when the coordinates are (3, 7)?

• 10

• sqrt(58)

• 5

• sqrt(29)

Why is it necessary to rationalize the denominator in trigonometric expressions?

• To make calculations easier

• To change the angle

• To eliminate radicals from the denominator

• To simplify the numerator

What is the cosine of the angle in the new example with coordinates (3, 7)?

• 3 / sqrt(58)

• 7 / sqrt(58)

• 7 / 3

• 3 / 7