Calculator Crash Course Flashcard

Front

Calculate the determinant of the matrix A = [[a, b], [c, d]]. What is the formula?

Back

The determinant of a 2x2 matrix A = [[a, b], [c, d]] is calculated as det(A) = ad - bc.

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

Convert 180 degrees to radians.

Back

Front

What is the formula to calculate percentage?

Back

Percentage is calculated as (Part/Whole) × 100.

Front

What is the cosine function?

Back

The cosine function, denoted as cos(x), is a trigonometric function that relates the angle x to the ratio of the adjacent side to the hypotenuse in a right triangle.

Front

What is the period of the cosine function y = cos(x)?

Back

The period of the cosine function y = cos(x) is 2π.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles. 180 degrees is equal to π radians.

Front

Calculate 10% of 200.

Back

10% of 200 is 20.

Front

What is the amplitude of the cosine function y = A cos(Bx)?

Back

The amplitude is the absolute value of A, which represents the maximum height of the wave.