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Why are trigonometry functions periodic?

Anonymous

∙ 8y ago

Updated: 11/5/2022

Because any angle increased by k*2pi radians (= k*360 degrees) where k is an integer, is, effectively, the same angle. This implies that f(x + 2kpi) = f(x) for any angle x and any trig function f. This gives f a maximum period of 2pi radians.

Wiki User

∙ 8y ago

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Q: Why are trigonometry functions periodic?

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What are the functions of trigonometry?

The six basic functions of trigonometry are the sine, cosine, tangent, cosecant, secant, and cotangent functions. Abbreviated sin, cos, tan, csc, sec, cot.

Is trigonometry included in order of operations?

Not specifically trigonometry, but functions in general. As a general rule, functions must be evaluated before using the results in other parts of the calcuation.

When do we use trig functions?

Trigonometry functions are used to work out the various properties of triangles.

Are the sum of two periodic functions always periodic?

yes

Property common to all trigonometric functions?

Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.

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