Solving Trig Equations

Flashcard
•
Mathematics
•
12th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the general solution for the equation sin(x) = 0?
Back
x = nπ, where n is any integer.
Tags
CCSS.HSF.TF.B.7
2.
FLASHCARD QUESTION
Front
What is the solution for sin(x) = 1 within the interval [0, 360°]?
Back
x = 90°.
Tags
CCSS.HSF.TF.B.7
3.
FLASHCARD QUESTION
Front
What angles correspond to cos(θ) = -√(3)/2 in the interval [0, 2π)?
Back
θ = 5π/6, 7π/6.
Tags
CCSS.HSF.TF.B.7
4.
FLASHCARD QUESTION
Front
What is the solution for sin(x) = 1/2 within the interval [0, 360°]?
Back
x = 30°, 150°.
Tags
CCSS.HSF.TF.B.7
5.
FLASHCARD QUESTION
Front
What is the general solution for the equation tan(x) + 1 = 0?
Back
x = (2n + 1)π/4, where n is any integer.
Tags
CCSS.HSF.TF.B.7
6.
FLASHCARD QUESTION
Front
What are the values of x for tan(x) = -1 in the interval [0, 2π)?
Back
x = 3π/4, 7π/4.
Tags
CCSS.HSF.TF.B.7
7.
FLASHCARD QUESTION
Front
What is the range of the sine function?
Back
[-1, 1].
Tags
CCSS.HSF.IF.A.1
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