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Trigonometric Identities and Simplifications

Trigonometric Identities and Simplifications

Assessment

Interactive Video

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

Created by

Lucas Foster

FREE Resource

The video tutorial explains how to simplify trigonometric expressions by converting them into sines and cosines using reciprocal identities. It provides four examples: simplifying tangent x times cosine x to sine x, cosecant x times cosine x to cotangent x, sine x times cotangent x to cosine x, and secant x times cosine x to one. Each example demonstrates the process of identifying common factors and simplifying the expressions step-by-step.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying trigonometric expressions?

Use the Pythagorean identities

Convert to sines and cosines

Use the angle sum identities

Convert to tangent and cotangent

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the expression tangent x times cosine x simplify to?

Cosine x

Sine x

Tangent x

Cotangent x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to simplify tangent x in the expression tangent x times cosine x?

Tangent x = 1 / cosine x

Tangent x = sine x / cosine x

Tangent x = cosine x / sine x

Tangent x = 1 / sine x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the expression cosecant x times cosine x simplify to?

Secant x

Cotangent x

Tangent x

Sine x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to express cosecant x in the expression cosecant x times cosine x?

Cosecant x = 1 / cosine x

Cosecant x = sine x / cosine x

Cosecant x = cosine x / sine x

Cosecant x = 1 / sine x

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the expression sine x times cotangent x simplify to?

Secant x

Tangent x

Cosine x

Sine x

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to express cotangent x in the expression sine x times cotangent x?

Cotangent x = sine x / cosine x

Cotangent x = 1 / sine x

Cotangent x = cosine x / sine x

Cotangent x = 1 / cosine x

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