Given a point find the six trigonometric functions of the angle

Given a point find the six trigonometric functions of the angle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to evaluate all six trigonometric functions given a point not on the unit circle. It covers plotting points on a grid, forming triangles, defining central angles, and using the Pythagorean theorem to find the hypotenuse. The tutorial also demonstrates calculating sine, cosine, and tangent ratios, as well as their reciprocal functions, with a focus on rationalizing denominators.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in evaluating trigonometric functions when given a point not on the unit circle?

Plot the point on an X&Y grid

Calculate the sine

Create a central angle

Find the hypotenuse

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of creating a central angle in the context of trigonometric functions?

To have a vertex at the origin

To determine the adjacent side

To calculate the sine

To find the hypotenuse

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Cosine Rule

Sine Rule

Pythagorean Theorem

Tangent Rule

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Adjacent over hypotenuse

Hypotenuse over opposite

Opposite over hypotenuse

Opposite over adjacent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the process called when you multiply by the radical in the denominator to simplify a fraction?

Rationalizing the denominator

Rationalizing the numerator

Multiplying the fraction

Simplifying the fraction

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of the sine function called?

Secant

Cosecant

Cotangent

Tangent

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which reciprocal function is calculated as hypotenuse over adjacent?

Secant

Cosecant

Tangent

Cotangent