cos and sin equation
cos(x)^2 + sin(x)^2 = 1
Cosine and Sine are two fundamental trigonometric functions that are used to solve problems related to triangles and waves. The equations of these functions are as follows:
Cosine equation:
The cosine function is defined as the ratio of adjacent side to the hypotenuse side of a right-angled triangle. The cosine equation is given as:
cos(θ) = adjacent / hypotenuse
where θ is the angle between the adjacent and hypotenuse sides of the right triangle.
Sine equation:
The sine function is defined as the ratio of opposite side to the hypotenuse side of a right-angled triangle. The sine equation is given as:
sin(θ) = opposite / hypotenuse
where θ is the angle between the opposite and hypotenuse sides of the right triangle.
These equations are used to calculate the unknown sides or angles of a right-angled triangle if the other sides or angles are known. They are also used to find the amplitude, period, and phase shift of periodic functions such as waveforms.
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