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sin(x) = x - x3/3! + x5/5! - x7/7! + ...

and

cos(x) = 1 - x2/2! + x4/4! - x6/6! + ... where x is the angle measured in radians.

Then

tan(x) = sin(x)/cos(x) where cos(x) is not 0

cosec(x) = 1/sin(x) where sin(x) is not 0

sec(x) = 1/cos(x) where cos(x) is not 0

and

cot(x) = cos(x)/sin(x) where sin(x) is not 0

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Q: Definition of 6 trigonometric functions
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Related questions

What are the types of trigonometric functions?

There are three types of trigonometric functions, they are: 1- Plane Trigonometric Functions 2- Inverse Trigonometric Functions and 3- Hyperbolic Trigonometric Functions


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Topics need for trigonometry?

There are several topics under the broad category of trigonometry. * Angle measurements * Properties of angles and circles * Basic trigonometric functions and their reciprocals and co-functions * Graphs of trigonometric functions * Trigonometric identities * Angle addition and subtraction formulas for trigonometric functions * Double and half angle formulas for trigonometric functions * Law of sines and law of cosines * Polar and polar imaginary coordinates.


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Definition of the 6 trigonometric functions?

The six main trigonometric functions are sin(x)=opposite/hypotenuse cos(x)=adjacent/hypotenuse tan(x)=opposite/adjacent csc(x)=hypotenuse/opposite cot(x)=adjacent/opposite sec(x)=hypotenuse/adjacent Where hypotenuse, opposite, and adjacent correspond to the three sides of a right triangle and x corresponds to an angle in that right triangle.