
Mastering Trigonometric Identities with Fractions

Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Hard

Ethan Morris
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a Pythagorean trigonometric identity?
sec(x) = 1 / cos(x)
tan(x) = sin(x) / cos(x)
sin^2(x) + cos^2(x) = 1
cot(x) = cos(x) / sin(x)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of 1 - cos(x) / sin(x)?
cot(x) - tan(x)
cosec(x) - cot(x)
tan(x) - sec(x)
cosec(x) - sec(x)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can tan^2(x) be expressed using sec(x)?
sec(x) + 1
sec^2(x) + 1
sec(x) - 1
sec^2(x) - 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common denominator used in the identity 4 sec(x) / (cosec(x) - 1) + cosec(x) / (cosec(x) + 1)?
cosec^2(x) - 1
sec^2(x) - 1
(cosec(x) - 1)(cosec(x) + 1)
(sec(x) - 1)(sec(x) + 1)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which trigonometric identity is used to simplify 1 - sin^2(x)?
cot^2(x)
sec^2(x)
tan^2(x)
cos^2(x)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of rationalizing 1 + sin(x) by multiplying with 1 - sin(x)?
1 + cos^2(x)
1 - sin^2(x)
1 + sin^2(x)
1 - cos^2(x)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the identity sec(x) - tan(x) whole square, what is the expanded form?
sec^2(x) - tan^2(x)
sec^2(x) - 2 sec(x) tan(x) + tan^2(x)
sec^2(x) + tan^2(x)
sec^2(x) + 2 sec(x) tan(x) + tan^2(x)
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