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The Greek letter θ (theta) is used as a variable in mathematics to represent an angle. The symbol appears in the three main trigonometric functions: cosine, sine, and tangent as an input argument.
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 is the ratio of the length of the adjacent leg to that of the hypotenuse.
Cosine. Cosine, written as cos(θ), is one of the six fundamental trigonometric functions. Cosine 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.
The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse. The cosine function is one of the three main primary trigonometric functions and it is itself the complement of sine(co+sine).
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°?
A 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).
What Is Cosine? Cosine or cos x is a periodic function in trigonometry. Consider a unit circle centered at the origin of the coordinate plane. A variable point P moves on the circumference of this circle. From the figure, we observe that P is in the first quadrant, and OP makes an acute angle of x radians with the positive x-axis.
