The Cosine Function In Trigonometry: Definition And Calculation

cosine of theta

x/r

The cosine of theta (written as cos(theta)) is a mathematical function that relates the ratio of the adjacent side of a right triangle to the hypotenuse of the same triangle when one of the angles is theta. In other words, it is the ratio of the length of the side adjacent to the angle theta to the length of the hypotenuse of the triangle formed by the angle theta.

The cosine of theta can be expressed as the ratio of the adjacent side to the hypotenuse in terms of the trigonometric function cosine:

cos(theta) = adjacent / hypotenuse

For example, if we have a right triangle with an angle theta, where the adjacent side is 3 and the hypotenuse is 5, then the cosine of theta can be calculated as:

cos(theta) = adjacent / hypotenuse = 3/5

Therefore, in this case, the cosine of theta is 0.6.

More Answers:
Mastering Trigonometry: The Secant Function And How To Calculate It
Cosecant Function Explained: The Definition, Periodicity, And Limitations Of Csc(Theta)
The Power Of Tangent Function: Geometry, Trigonometry, And Real-World Applications.

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