4.4 Find Any Angles using Trig
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of secant (sec)?
Back
The secant of an angle θ in a right triangle is defined as the ratio of the length of the hypotenuse to the length of the adjacent side. It can also be expressed as sec(θ) = 1/cos(θ).
2.
FLASHCARD QUESTION
Front
How do you find the value of sec(θ) given a point on the terminal side?
Back
To find sec(θ) given a point (x, y) on the terminal side, first calculate the radius r using r = √(x² + y²). Then, use sec(θ) = r/x.
3.
FLASHCARD QUESTION
Front
What is the definition of cotangent (cot)?
Back
The cotangent of an angle θ is defined as the ratio of the length of the adjacent side to the length of the opposite side in a right triangle. It can also be expressed as cot(θ) = 1/tan(θ).
4.
FLASHCARD QUESTION
Front
How do you find cot(θ) given a point on the terminal side?
Back
To find cot(θ) given a point (x, y) on the terminal side, use cot(θ) = x/y.
5.
FLASHCARD QUESTION
Front
What is the definition of tangent (tan)?
Back
The tangent of an angle θ is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. It can also be expressed as tan(θ) = sin(θ)/cos(θ).
6.
FLASHCARD QUESTION
Front
How do you find tan(θ) given sin(θ) and cos(θ)?
Back
To find tan(θ), use the formula tan(θ) = sin(θ)/cos(θ).
7.
FLASHCARD QUESTION
Front
What is the definition of cosecant (csc)?
Back
The cosecant of an angle θ is defined as the ratio of the length of the hypotenuse to the length of the opposite side in a right triangle. It can also be expressed as csc(θ) = 1/sin(θ).
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