NC Math 4 Final Exam
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
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 used to find an unknown side or angle in a triangle when two sides and the included angle are known.
2.
FLASHCARD QUESTION
Front
What is the Law of Sines?
Back
The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all three sides and angles of the triangle.
3.
FLASHCARD QUESTION
Front
How do you find the length of a side in a triangle using the Law of Cosines?
Back
To find the length of a side, use the formula: c² = a² + b² - 2ab * cos(C), where a and b are the lengths of the other two sides, C is the included angle, and c is the side opposite angle C.
4.
FLASHCARD QUESTION
Front
What is the formula for the Law of Sines?
Back
The formula is: (a/sin(A)) = (b/sin(B)) = (c/sin(C)), where a, b, and c are the lengths of the sides opposite angles A, B, and C respectively.
5.
FLASHCARD QUESTION
Front
How do you determine the measure of an angle in a triangle?
Back
To determine the measure of an angle, you can use the Law of Sines or the Law of Cosines, depending on the information available (sides and angles).
6.
FLASHCARD QUESTION
Front
What is the process for simplifying complex numbers?
Back
To simplify complex numbers, combine like terms. For example, (10 + 15i) - (48 - 30i) simplifies to (10 - 48) + (15i + 30i) = -38 + 45i.
7.
FLASHCARD QUESTION
Front
What is a complex number?
Back
A complex number is a number that can be expressed in the form a + bi, where a is the real part, b is the imaginary part, and i is the imaginary unit, defined as the square root of -1.
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