What is the solution to the equation $$-3\cot x=\sqrt[]{3}$$ ?

The solutions are $$\frac{2\pi}{3},\ \frac{5\pi}{3}$$ .

Solve for $$\theta$$ in the equation $$4-\csc^2\theta=4\csc\theta-2\csc^2\theta$$ .

The solutions are $$\theta=\frac{\pi}{6},\ \frac{5\pi}{6}$$ .

What is the formula for the length of a line segment between two points (x1, y1) and (x2, y2)?

The length is given by $$L = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ .

What is the definition of cosecant in trigonometry?

Cosecant is the reciprocal of sine, defined as $$\csc x = \frac{1}{\sin x}$$ .

What is the formula for converting degrees to radians?

To convert degrees to radians, use the formula $$radians = degrees \times \frac{\pi}{180}$$ .

What is the definition of a parametric equation?

A parametric equation expresses the coordinates of the points of a curve as functions of a variable, usually denoted as $$t$$ .

What is the relationship between the angles in a right triangle?

In a right triangle, the sum of the angles is always 180 degrees, with one angle being 90 degrees.

What is the definition of a function?

A function is a relation that assigns exactly one output for each input from its domain.

What is the quadratic formula used for?

The quadratic formula is used to find the solutions of a quadratic equation of the form $$ax^2 + bx + c = 0$$ , given by $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the definition of an ordered pair?

An ordered pair is a pair of elements (x, y) where the order of the elements matters.

Midterm 2 Review (PC24) Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.B.7

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.B.7

3.

FLASHCARD QUESTION

Front

Back

The ordered pair is (2, 4).

4.

FLASHCARD QUESTION

Front

Calculate the length of AC if the options are 32.68 ft, 110.70 ft, 27.54 ft, 26.58 ft.

Back

The length of AC is 27.54 ft.

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

Find the length of XZ given the options: 16.004 meters, 544.165 meters, 34.7 meters, 1204.165 meters.

Back

The length of XZ is 34.7 meters.

Tags

CCSS.2.MD.A.3

6.

FLASHCARD QUESTION

Front

What is the definition of cotangent in trigonometry?

Back

Tags

CCSS.HSF.TF.A.2

7.

FLASHCARD QUESTION

Front

What is the Pythagorean identity for sine and cosine?

Back

Tags

CCSS.HSF.TF.C.8

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