Trigonometric Identities and Calculations

Trigonometric Identities and Calculations

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Aiden Montgomery

FREE Resource

The video tutorial walks through solving a math problem involving trigonometric identities. The instructor simplifies an equation using the identity sine squared plus cosine squared equals one, and then calculates the result using a calculator. The final result is a distance of 5.33 miles, with a brief discussion on the implications of the solution. The tutorial emphasizes the importance of simplification to reduce errors in calculations.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What trigonometric identity is used to simplify the expression involving sine and cosine?

Sine minus cosine equals zero

Sine squared plus cosine squared equals zero

Sine squared plus cosine squared equals one

Sine plus cosine equals one

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of changing colors during the explanation?

To correct a previous mistake

To indicate a change in topic

To highlight important steps

To make the video more colorful

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial expression given in the problem?

25 times sine squared of 15 plus cosine squared of 15

25 times sine of 30 plus cosine of 30

25 times sine of 15 plus cosine of 15

25 times sine squared of 30 plus cosine squared of 30

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified expression for m squared after using the trigonometric identity?

125 plus 100 minus 100 cosine of 15 degrees

25 plus 100 minus 100 cosine of 15 degrees

25 plus 100 minus 100 sine of 15 degrees

125 minus 100 plus 100 sine of 15 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the variable m represent in the context of this problem?

The distance traveled

The angle in degrees

The speed of travel

A variable with no specific relevance

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of cosine of 15 degrees used in the calculation?

0.86603

0.96593

0.5

0.70711

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 125 minus 100 times the cosine of 15 degrees?

28.407

100.593

125.407

96.593

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