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Trigonometric Expressions and Identities

Trigonometric Expressions and Identities

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.A.4

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.HSF.TF.A.4
The video tutorial explains how to simplify a trigonometric expression by converting tangent and secant functions into sine and cosine. It involves substituting these functions, handling complex fractions by multiplying with reciprocals, and using the Pythagorean identity to simplify the expression further. The process concludes with factoring and recognizing identities to achieve the final simplified result.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying a trigonometric expression?

Convert all terms to tangent and secant

Convert all terms to sine and cosine

Add all terms together

Multiply all terms by 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent of tangent x in terms of sine and cosine?

1 / sine x

1 / cosine x

sine x / cosine x

cosine x / sine x

Tags

CCSS.HSF.TF.A.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

cosine x

sine x

1 / sine x

1 / cosine x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you handle a complex fraction in a trigonometric expression?

Add the fractions together

Multiply by the reciprocal of the denominator

Subtract the denominator from the numerator

Divide the numerator by the denominator

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you multiply cosine x by its reciprocal?

It becomes zero

It becomes one

It halves

It doubles

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common factor identified in the expression 4 sin^2 x + 4 cos^2 x?

2

4

sin x

cos x

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric identity is used to simplify sin^2 x + cos^2 x?

Tangent identity

Secant identity

Pythagorean identity

Cotangent identity

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