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  1. Sine, Cosine and Tangent (often shortened to sin, cos and tan) are each a ratio of sides of a right angled triangle: For a given angle θ each ratio stays the same. no matter how big or small the triangle is. To calculate them: Divide the length of one side by another side. Example: What is the sine of 35°?

  2. Sine, written as sin⁡ (θ), is one of the six fundamental trigonometric functions. Sine definitions. There are two main ways in which trigonometric functions are typically discussed: in terms of right triangles and in terms of the unit circle.

  3. In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle : for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse ), and the cosine ...

  4. The sine function is one of the basic functions encountered in trigonometry (the others being the cosecant, cosine, cotangent, secant, and tangent). Let be an angle measured counterclockwise from the x -axis along an arc of the unit circle.

  5. Sine. more ... In a right angled triangle, the sine of an angle is: The length of the side opposite the angle divided by the length of the hypotenuse. The abbreviation is sin sin θ = opposite / hypotenuse.

  6. The Reciprocal Trigonometric Ratios. Often it is useful to use the reciprocal ratios, depending on the problem. (In plain English, the reciprocal of a fraction is found by turning the fraction upside down.) \displaystyle\text {cosecant}\ \theta cosecant θ is the reciprocal of \displaystyle\text {sine}\ \theta sine θ,

  7. The sine function, along with cosine and tangent, is one of the three most common trigonometric functions. In any right triangle, the sine of an angle x is the length of the opposite side (O) divided by the length of the hypotenuse (H). In a formula, it is written as 'sin' without the 'e':

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