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

Trigonometric Identities and Calculations

Interactive Video
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Mathematics
•
9th - 12th Grade
•
Hard

Aiden Montgomery
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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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