Solving Trig Equations

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•
Mathematics
•
11th - 12th Grade
•
Hard
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14 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of the tangent function?
Back
The tangent function, denoted as tan(x), is the ratio of the opposite side to the adjacent side in a right triangle. It can also be defined as tan(x) = sin(x)/cos(x).
2.
FLASHCARD QUESTION
Front
What is the range of the inverse tangent function, tan-1(x)?
Back
The range of the inverse tangent function, tan-1(x), is (-π/2, π/2).
3.
FLASHCARD QUESTION
Front
What is the relationship between sec-1(x) and cos(x)?
Back
sec-1(x) is the angle whose secant is x, which means cos(sec-1(x)) = 1/x.
4.
FLASHCARD QUESTION
Front
What is the definition of the cosecant function?
Back
The cosecant function, denoted as csc(x), is the reciprocal of the sine function: csc(x) = 1/sin(x).
5.
FLASHCARD QUESTION
Front
What is the domain of the secant function?
Back
The domain of the secant function, sec(x), is all real numbers except for x = (2n+1)π/2, where n is an integer.
6.
FLASHCARD QUESTION
Front
What is the value of cos-1(1)?
Back
cos-1(1) = 0.
7.
FLASHCARD QUESTION
Front
What is the value of sin-1(0)?
Back
sin-1(0) = 0.
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