Trigonometric Identities and Simplifications

Trigonometric Identities and Simplifications

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.C.9

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.HSF.TF.C.9
The video tutorial explains how to simplify a trigonometric expression involving secant and cosine. It begins by converting secant to cosine, then simplifies the expression using reciprocal identities. The tutorial further simplifies the expression using trigonometric identities, specifically the relationship between tangent and secant. Finally, it provides a caution about correctly inputting the simplified result into a homework system.

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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial trigonometric expression that needs to be simplified?

Cosecant x divided by sine x minus one

Tangent x divided by sine x minus one

Cosine x divided by sine x minus one

Secant x divided by sine x minus one

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent expression for secant x in terms of cosine?

Sine x

Cosine x

1 / cosine x

1 / sine x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you rewrite the expression when dividing by cosine x?

Subtract cosine x

Multiply by cosine x

Multiply by the reciprocal of cosine x

Add cosine x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying 1 over cosine x by cosine x?

Cosine x

Secant x

Cosine 2x

Sine x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to further simplify secant 2x - 1?

Sine identity

Cosine identity

Tangent identity

Cosecant identity

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does secant 2x - 1 simplify to using the tangent identity?

Sine x

Cosine x

Tangent x

Cosecant x

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you be cautious about when entering the simplified expression into a homework system?

Entering the expression as secant x

Entering the expression as cosine x

Entering the expression as sine x

Entering the expression as tangent 2x

Tags

CCSS.HSF.TF.C.9

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