Podcast
Questions and Answers
In a right triangle, if the length of the opposite side to an angle θ is 8 and the length of the hypotenuse is 17, what is the value of $sin(θ)$?
In a right triangle, if the length of the opposite side to an angle θ is 8 and the length of the hypotenuse is 17, what is the value of $sin(θ)$?
- 17/8
- 15/17
- 8/17 (correct)
- 8/15
The range of the arcsine function, $arcsin(x)$, is $0 ≤ arcsin(x) ≤ π$.
The range of the arcsine function, $arcsin(x)$, is $0 ≤ arcsin(x) ≤ π$.
False (B)
Given that $cos(θ) = 0.6$ and $sin(θ) = 0.8$, what is the value of $cot(θ)$?
Given that $cos(θ) = 0.6$ and $sin(θ) = 0.8$, what is the value of $cot(θ)$?
0.75
The period of the tangent function is ______.
The period of the tangent function is ______.
Match each trigonometric identity with its corresponding expression:
Match each trigonometric identity with its corresponding expression:
Which of the following is equivalent to $cos(2θ)$?
Which of the following is equivalent to $cos(2θ)$?
The amplitude of the function $y = 3sin(2x + π) - 1$ is 2.
The amplitude of the function $y = 3sin(2x + π) - 1$ is 2.
If $sin(A) = 0.6$ and $cos(B) = 0.8$, what is the value of $sin(A)cos(B) + cos(A)sin(B)$? (You may leave your answer as a decimal).
If $sin(A) = 0.6$ and $cos(B) = 0.8$, what is the value of $sin(A)cos(B) + cos(A)sin(B)$? (You may leave your answer as a decimal).
The reciprocal of the sine function is the ______ function.
The reciprocal of the sine function is the ______ function.
Which of the following transformations affects the period of a trigonometric function?
Which of the following transformations affects the period of a trigonometric function?
Flashcards
Sine (sin)
Sine (sin)
Ratio of opposite side to hypotenuse in a right triangle.
Cosine (cos)
Cosine (cos)
Ratio of adjacent side to hypotenuse in a right triangle.
Tangent (tan)
Tangent (tan)
Ratio of opposite side to adjacent side in a right triangle.
Cosecant (csc)
Cosecant (csc)
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Secant (sec)
Secant (sec)
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Cotangent (cot)
Cotangent (cot)
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Unit Circle
Unit Circle
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Pythagorean Identity
Pythagorean Identity
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Periodicity
Periodicity
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Inverse Trigonometric Functions
Inverse Trigonometric Functions
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Study Notes
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Description
Understand trigonometric functions: sine, cosine, and tangent. Learn how these functions relate angles to the ratios of sides in a right triangle. Explore reciprocal functions like cosecant, secant, and cotangent.
