Sine, Cosine, Tangent - Math is Fun
WEBSine, Cosine and Tangent are the main functions used in Trigonometry and are based on a Right-Angled Triangle. Before getting stuck into the functions, it helps to give a name to each side of a right triangle: "Opposite" is opposite to the angle θ. "Adjacent" is adjacent to (next to) the angle θ. "Hypotenuse" is the long one.
Sine, Cosine and Tangent - Mathwarehouse.com
WEBThis 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.
Using the Cosine Function to Find the Adjacent - Mathematics …
WEBThe cosine function relates a given angle to the adjacent side and hypotenuse of a right triangle. The length of the adjacent is given by the formula below: In this formula, θ is an angle of a right triangle, the adjacent is the length of the side next to the angle and the hypotenuse is the length of longest side.
Cosine - Math.net
WEBAdjacent: the side next to θ that is not the hypotenuse. Opposite: the side opposite θ. Hypotenuse: the longest side of the triangle opposite the right angle. Example: Find cos (θ) for the right triangle below. We can also use the cosine function when solving real world problems involving right triangles. Example:
Sohcahtoa: Sine, Cosine, Tangent - Math is Fun
WEBExample: what are the sine, cosine and tangent of 30° ? A 30° triangle has a hypotenuse (the long side) of length 2, an opposite side of length 1 and an adjacent side of √3, like this: Now we know the lengths, we can calculate the functions: Sine. soh... sin …
2. Sine, Cosine, Tangent and the Reciprocal Ratios
WEBadjacent (the side "next to" θ) opposite (the side furthest from the angle θ) We define the three trigonometrical ratios sine θ, cosine θ, and tangent θ as follows (we normally write …
Sine and cosine - Wikipedia
WEBIt forms a side of (and is adjacent to) both the angle of interest and the right angle. Once such a triangle is chosen, the sine of the angle is equal to the length of the opposite side divided by the length of the hypotenuse, and the cosine of the angle is equal to the length of the adjacent side divided by the length of the hypotenuse: [1]
Trigonometric Identities - Math is Fun
WEBThe three main functions in trigonometry are Sine, Cosine and Tangent. They are just the length of one side divided by another. For a right triangle with an angle θ : Sine Function: sin (θ) = Opposite / Hypotenuse. Cosine Function: cos (θ) = Adjacent / Hypotenuse. Tangent Function: tan (θ) = Opposite / Adjacent.
1.3: Basic Trigonometric Functions - Mathematics LibreTexts
WEBSine, Cosine, and Tangent Trigonometry is the study of the relationships between the sides and angles of right triangles. The legs are called adjacent or opposite depending on which acute angle is being used. Figure 1.3.1
Cosine -- from Wolfram MathWorld
WEBA convenient mnemonic for remembering the definition of the sine, cosine, and tangent is SOHCAHTOA (sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, tangent equals opposite over adjacent).