Trigonometric Expressions and Identities Assessment
Authored by Danielle Picklesimer
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Factor the expression https://image.hypatiasys.com/images/362906ffb3239ca8e474cc47fdfd7a152a5980ba.png using the difference of squares formula:
(\sin(x) + 2)(\sin(x) - 2)
(\sin(x))(\sin(x) - 4)
(\sin(x) + 1)(\sin(x) - 4)
2(\sin(x) - 2)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Simplify \(\frac{\sin(x)}{\cos(x)} + \frac{\cos(x)}{\sin(x)}\):
\(\frac{\sin^2(x) + \cos^2(x)}{\sin(x)\cos(x)}\)
\(\frac{\sin^2(x) + \cos^2(x)}{\tan(x)}\)
\(\frac{1}{\sin(x)\cos(x)}\)
\(\frac{2}{\sin(2x)}\)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the period of \(f(x) = 3\sin(2x)\)?
\(\pi\)
\(2\pi\)
\(\frac{\pi}{2}\)
\(4\pi\)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Simplify \(\sin^2(x) + \cos^2(x)\):
\(\tan^2(x)\)
\(2\)
\(1\)
\(0\)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the amplitude of \(y=4\cos(x)-2\)?
\(1\)
\(2\)
\(4\)
\(8\)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Express \(\tan(x)\) in terms of sine and cosine:
\(\frac{\cos(x)}{\sin(x)}\)
\(\frac{\sin(x)}{\cos(x)}\)
\(\sin(x)\cos(x)\)
\(\frac{1}{\sin(x)\cos(x)}\)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Factor \(\sin^2(x) + 2\sin(x) + 1\):
(\sin(x) + 1)^2
(\sin(x))(\sin(x) + 2)
(\sin(x) - 1)(\sin(x) + 1)
(\sin(x) + 1)(\sin(x) - 1)
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