Principal Inverse Values
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the principal value of an angle in radians?
Back
The principal value of an angle in radians is the unique angle within the range of 0 to 2π that corresponds to a given trigonometric function value.
2.
FLASHCARD QUESTION
Front
How do you find the principal value of sin(x) = 1/2?
Back
The principal value of sin(x) = 1/2 is π/6, as it is the angle in the first quadrant where the sine function equals 1/2.
3.
FLASHCARD QUESTION
Front
What is the principal value of cos(x) = -1/2?
Back
The principal value of cos(x) = -1/2 is 2π/3, as it is the angle in the second quadrant where the cosine function equals -1/2.
4.
FLASHCARD QUESTION
Front
What is the principal value of tan(x) = -√3?
Back
The principal value of tan(x) = -√3 is -π/3, as it is the angle in the fourth quadrant where the tangent function equals -√3.
5.
FLASHCARD QUESTION
Front
What is the range of the principal values for trigonometric functions?
Back
The range of principal values for trigonometric functions is typically from 0 to 2π for sine and cosine, and from -π/2 to π/2 for tangent.
6.
FLASHCARD QUESTION
Front
How do you determine the principal value of an angle given in degrees?
Back
To determine the principal value of an angle given in degrees, convert the angle to radians and then find the equivalent angle within the range of 0 to 2π.
7.
FLASHCARD QUESTION
Front
What is the principal value of sin(x) = -1/2?
Back
The principal value of sin(x) = -1/2 is 7π/6, as it is the angle in the third quadrant where the sine function equals -1/2.
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