Evaluate the composition of trigonometric functions not on the unit circle

Evaluate the composition of trigonometric functions not on the unit circle

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explores the composition of functions, focusing on the sine inverse of a value not on the unit circle. It explains the creation and purpose of the unit circle, emphasizing its role in simplifying trigonometric evaluations. The tutorial demonstrates how to evaluate the sine inverse, draw relevant triangles, and determine the tangent of an angle. It also covers the process of rationalizing the denominator in trigonometric calculations.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary reason for using the unit circle in trigonometry?

To simplify calculations and understanding

To make triangles more complex

To avoid using angles

To eliminate the need for functions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which quadrants are considered when dealing with sine inverse?

1st and 2nd

3rd and 4th

2nd and 3rd

1st and 4th

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a trigonometric problem involving a triangle?

Calculate the tangent

Draw the triangle

Rationalize the denominator

Find the hypotenuse

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the missing side in a right triangle problem?

Guess the length

Use the Pythagorean theorem

Use the sine rule

Measure it directly

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of rationalizing the denominator in the given problem?

A whole number

A simplified fraction

A complex number

An irrational number