You usually need all three primary functions.
The sine and cosine functions are used to resolve the vector along orthogonal axes, and the tangent function is used to find its direction.
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they can be, depending on the information that you are given. If you know lengths of sides, then YES.
The Fourier series is a specific type of infinite mathematical series involving trigonometric functions that are used in applied mathematics. It makes use of the relationships of the sine and cosine functions.
Vectors are used to denote or model directions.
The law is used to add vectors to find the resultant of two or more vectors acting at a point.
In trigonometric problems, the Greek letter theta is often used to designate an angle that has not been measured. It is a lot like the way the letter x is used in algebra.