$$\frac{\sin A}{a}$$ = $$\frac{\sin B}{b}$$ = $$\frac{\sin C}{c}$$

P(Event) = $$\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$

Sum of all values divided by the number of values.

The middle value when the data is ordered

The value(s) that appear most frequently.

A measure of how spread out numbers are from the mean.

A rectangular array of numbers arranged in rows and columns.

A square matrix with 1s on the diagonal and 0s elsewhere.

Dot product of two vectors

Sum of the products of corresponding entries: $$a \cdot b = a_1b_1 + a_2b_2 + \ldots + a_n b_n$$

$$\frac{d}{dx} [x^n] = n x^{n-1}$$

Fundamental Theorem of Calculus

$$\int_{a}^{b} f(x)\,dx = F(b) - F(a)$$ , where F is an antiderivative of f.

b, b drops, then $$\log_a a$$ = 1, so b times 1 = b

$$\left(\frac{\sqrt[]{3}}{2},\ \frac{1}{2}\right)$$

$$\left(\frac{1}{2},\frac{\sqrt[]{3}}{2}\right)$$

$$\left(\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2}\right)$$

$$\int_{ }^{ }x^ndx$$

$$\frac{1}{n+1}x^{\left(n+1\right)}\ +c$$

$$\int_{ }^{ }x^{-1}dx$$

$$\int_{ }^{ }\left(\frac{1}{x}\right)dx\ =\ \ln\left|x\right|+c$$

The average of the squared differences from the mean.

Determinant of a 2x2 Matrix

For $$\begin{pmatrix} a & b \\ c & d \end{pmatrix}$$ , the determinant is $$ad-bc$$ .

Mathematics Concepts Flashcards

Student preview

48 questions

Show all answers

1.

FLASHCARD QUESTION

Front

sin(θ) in a right triangle

Back

Opposite side / Hypotenuse

2.

FLASHCARD QUESTION

Front

Pythagorean Identity

Back

sin²θ + cos²θ = 1

3.

FLASHCARD QUESTION

Front

Law of Sines

Back

4.

FLASHCARD QUESTION

Front

sin(30°), cos(30°), tan(30°)

Back

5.

FLASHCARD QUESTION

Front

Probability Formula

Back

6.

FLASHCARD QUESTION

Front

Independent events

Back

Events in which the occurrence of one does not affect the probability of the other.

7.

FLASHCARD QUESTION

Front

P(A and B) for independent events

Back

P(A) \times P(B)

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