PCCP Practice Midterm Exam

Flashcard
•
Mathematics
•
9th Grade
•
Hard
+6
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Law of Sines?
Back
The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. It is expressed as: \( \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} \)
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
FLASHCARD QUESTION
Front
What is the Law of Cosines?
Back
The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. It is useful for finding a side or angle when you have two sides and the included angle or all three sides. It is expressed as: \( c^2 = a^2 + b^2 - 2ab \cos(C) \)
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
FLASHCARD QUESTION
Front
How do you convert degrees to radians?
Back
To convert degrees to radians, multiply the degree measure by \( \frac{\pi}{180} \). For example, to convert 180 degrees to radians: \( 180 \times \frac{\pi}{180} = \pi \) radians.
Tags
CCSS.HSF.TF.A.1
4.
FLASHCARD QUESTION
Front
What is the range of values for \( \theta \) in trigonometric equations?
Back
The range of values for \( \theta \) in trigonometric equations is often specified as \( 0 \leq \theta < 2\pi \) for angles measured in radians.
Tags
CCSS.HSF.TF.B.7
5.
FLASHCARD QUESTION
Front
What is the cosine function?
Back
The cosine function, denoted as \( \cos(\theta) \), is a trigonometric function that relates the angle \( \theta \) to the ratio of the adjacent side to the hypotenuse in a right triangle.
Tags
CCSS.HSF.TF.A.2
6.
FLASHCARD QUESTION
Front
What is the sine function?
Back
The sine function, denoted as \( \sin(\theta) \), is a trigonometric function that relates the angle \( \theta \) to the ratio of the opposite side to the hypotenuse in a right triangle.
Tags
CCSS.HSG.SRT.C.6
7.
FLASHCARD QUESTION
Front
What does it mean to solve for all values of \( \theta \)?
Back
Solving for all values of \( \theta \) means finding all angles that satisfy the given trigonometric equation within the specified range, typically \( 0 \leq \theta < 2\pi \).
Tags
CCSS.HSF.TF.B.7
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