
Solving Trig Equations Practice
Flashcard
•
Mathematics
•
12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the sine function?
Back
The sine function, denoted as sin(θ), is a trigonometric function that relates the angle θ to the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.
2.
FLASHCARD QUESTION
Front
What is the cosine function?
Back
The cosine function, denoted as cos(θ), is a trigonometric function that relates the angle θ to the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.
3.
FLASHCARD QUESTION
Front
What is the tangent function?
Back
The tangent function, denoted as tan(θ), is a trigonometric function that relates the angle θ to the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.
4.
FLASHCARD QUESTION
Front
What is the Pythagorean identity?
Back
The Pythagorean identity states that for any angle θ, sin²(θ) + cos²(θ) = 1.
5.
FLASHCARD QUESTION
Front
How do you solve a basic trigonometric equation like sin(θ) = 0.5?
Back
To solve sin(θ) = 0.5, find the angles θ in the range [0, 2π) where the sine function equals 0.5, which are θ = π/6 and θ = 5π/6.
6.
FLASHCARD QUESTION
Front
What is the unit circle?
Back
The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions for all angles.
7.
FLASHCARD QUESTION
Front
What are the values of sin(0), cos(0), and tan(0)?
Back
sin(0) = 0, cos(0) = 1, and tan(0) = 0.
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