What is the difference between the sine and cosine function?

What is the difference between the sine and cosine function?

Sine and cosine — a.k.a., sin(θ) and cos(θ) — are functions revealing the shape of a right triangle. Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse .

Are the graphs of sine and cosine identical?

The sine and cosine graphs are almost identical, except the cosine curve starts at y=1 when t=0 (whereas the sine curve starts at y=0).

What are the characteristics of the sine and cosine graphs?

The sine and cosine functions have several distinct characteristics:

• They are periodic functions with a period of.
• The domain of each function is ( − ∞ , ∞ ) and the range is.
• The graph of y = sin x y = sin x is symmetric about the origin, because it is an odd function.

What is the difference between sine cosine and tangent?

When the ratio involves the sides: oppositehypotenuse it is called Sine . When the ratio involves the sides: adjacenthypotenuse it is called Cosine. When the ratio involves the sides: oppositeadjacent it is called Tangent.

What is a cosine graph?

Graph of the cosine (cos) function – Trigonometry. To graph the cosine function, we mark the angle along the horizontal x axis, and for each angle, we put the cosine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1.

What is sine cosine and tangent used for?

Sine, cosine, and tangent are all trigonometric functions that can be used to help you find the angles or lengths of a triangle.

Why do you use sine cosine and tangent?

This page explains the sine, cosine, tangent ratio, gives on an overview of their range of values and provides practice problems on identifying the sides that are opposite and adjacent to a given angle. The Sine, Cosine and Tangent functions express the ratios of sides of a right triangle.

What is the equation for a sine graph?

The general equation of a sine graph is y = A sin(B(x – D)) + C. The general equation of a cosine graph is y = A cos(B(x – D)) + C. Example: Given a transformed graph of sine or cosine, determine a possible equation.

How do you graph sine function?

Because the graph of the sine function is being graphed on the x–y plane, you rewrite this as f(x) = sin x where x is the measure of the angle in radians. Find the values for domain and range. Calculate the graph’s x-intercepts. Calculate the graph’s maximum and minimum points. Sketch the graph of the function.

What is the equation for cosine?

In trigonometry, the law of cosines is also known as the cosine formula or cosine rule, relates the lengths of the sides of a triangle to the cosine of one of its angles. The Cosine Formula is, cos θ=Adjacent/Hypotenuse. a 2 = b 2 + c 2 − 2bc.cosA.

What is the equation for sine?

A general equation for the sine function is y = A sin Bx. The A and B are numbers that affect the amplitude and period of the basic sine function, respectively.