Inverse Trig Functions
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the range of the inverse cosine function, cos-1(x)?
Back
The range of cos-1(x) is [0, π].
Tags
CCSS.HSF-BF.B.4D
2.
FLASHCARD QUESTION
Front
What is the definition of the inverse sine function, sin-1(x)?
Back
The inverse sine function, sin-1(x), gives the angle whose sine is x, with a range of [-π/2, π/2].
Tags
CCSS.HSF-BF.B.4D
3.
FLASHCARD QUESTION
Front
What is the relationship between the sine and cosine of complementary angles?
Back
For any angle θ, sin(θ) = cos(π/2 - θ).
Tags
CCSS.HSF.TF.C.8
4.
FLASHCARD QUESTION
Front
How do you find the value of tan(sin-1(x))?
Back
To find tan(sin-1(x)), use the identity tan(θ) = sin(θ)/cos(θ) where θ = sin-1(x).
Tags
CCSS.HSF.TF.C.8
5.
FLASHCARD QUESTION
Front
What is the domain of the inverse tangent function, tan-1(x)?
Back
The domain of tan-1(x) is all real numbers, (-∞, ∞).
6.
FLASHCARD QUESTION
Front
What is the value of cos-1(1)?
Back
The value of cos-1(1) is 0.
Tags
CCSS.HSF.TF.B.7
7.
FLASHCARD QUESTION
Front
What is the value of sin-1(0)?
Back
The value of sin-1(0) is 0.
Tags
CCSS.HSF.TF.B.7
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