Answer:
Cosine, sine, and tangent are trigonometric functions used in mathematics and geometry to calculate angles and sides in right triangles.
Here is a brief explanation of each:
Cosine (cos): The cosine of an angle in a right triangle is defined as the adjacent side length divided by the hypotenuse length. In other words, it represents the ratio of the length of the adjacent side to the angle to the length of the hypotenuse. It is usually abbreviated as cos.
Sine (sin): The sine of an angle in a right triangle is defined as the opposite side length divided by the hypotenuse length. In other words, it represents the ratio of the length of the opposite side to the angle to the length of the hypotenuse. It is usually abbreviated as sin.
Tangent (tan): The tangent of an angle in a right triangle is defined as the opposite side length divided by the adjacent side length. In other words, it represents the ratio of the length of the opposite side to the angle to the length of the adjacent side. It is usually abbreviated as tan.
To solve questions that involve these functions, you need to know at least two values of a right triangle, such as the lengths of two sides or one side and an angle. Then you can use the trigonometric function and the given values to calculate the missing side or angle.
For example, if you know the length of the hypotenuse and one acute angle of a right triangle, you can use the sine or cosine function to calculate the length of one of the other sides. If you know the length of one side and one acute angle, you can use the tangent function to calculate the length of the other side.
There are also trigonometric identities and equations that can be used to simplify or solve more complex problems involving these functions.
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