Graphing Sine and Cosine Tangent - Basic

Front

What is the sine function?

Back

The sine function, denoted as sin(x), is a trigonometric function that relates the angle x (in radians) to the ratio of the length of the opposite side to the hypotenuse in a right triangle.

Front

What is the cosine function?

Back

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

Front

What is the tangent function?

Back

The tangent function, denoted as tan(x), is a trigonometric function that relates the angle x (in radians) to the ratio of the length of the opposite side to the adjacent side in a right triangle. It can also be expressed as tan(x) = sin(x)/cos(x).

Front

What is the amplitude of a sine or cosine function?

Back

The amplitude of a sine or cosine function is the maximum distance from the midline of the graph to its peak (or trough). It is the coefficient in front of the sine or cosine function.

Front

What is the period of the sine and cosine functions?

Back

The period of the sine and cosine functions is the distance along the x-axis required for the function to complete one full cycle. For sin(kx) or cos(kx), the period is given by 2π/k.

Front

What is the phase shift in trigonometric functions?

Back

The phase shift is the horizontal shift left or right for periodic functions. For the function y = sin(k(x - d)), the phase shift is d units to the right.

Front

What is the vertical shift in trigonometric functions?

Back

The vertical shift is the amount by which the graph of a function is moved up or down. For the function y = sin(x) + c, the graph is shifted c units up if c > 0 and down if c < 0.

Front

What is the value of sin(π)?

Back

sin(π) = 0.

Front

What is the value of cos(0)?

Back

cos(0) = 1.

Front

What is the value of tan(45°)?

Back

tan(45°) = 1.