
Trigonometric Identities and Simplifications

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

Jackson Turner
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a quotient identity?
tan(θ) = sin(θ) / cos(θ)
sec(θ) = 1 / cos(θ)
sin(θ) = 1 / csc(θ)
cos(θ) = 1 / sec(θ)
Tags
CCSS.HSF.TF.C.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the Pythagorean identity involving sine and cosine?
sin²(θ) - cos²(θ) = 1
cos²(θ) + sin²(θ) = 1
tan²(θ) + 1 = sec²(θ)
cot²(θ) + 1 = csc²(θ)
Tags
CCSS.HSF.TF.C.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given cos(θ) = -4/7 and θ is in the second quadrant, what is sin(θ)?
√33 / 7
-√33 / 7
-4 / 7
4 / 7
Tags
CCSS.HSF.TF.C.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If cot(θ) = 2/5, what is sec(θ)?
-√29 / 2
2 / √29
√29 / 2
-2√29 / 29
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of sin(θ) * sec(θ)?
tan(θ)
cos(θ)
1
sin²(θ)
Tags
CCSS.HSF.TF.C.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you rewrite tan(θ) using sine and cosine?
1 / cos(θ)
1 / sin(θ)
cos(θ) / sin(θ)
sin(θ) / cos(θ)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of simplifying 2 * (sec²(θ) - tan²(θ))?
2
tan²(θ)
1
sec²(θ)
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