An elementary derivation of the power series expansions for the sine and cosine functions

Karel Stroethoff

doi:10.1080/0020739X.2026.2661780

An elementary derivation of the power series expansions for the sine and cosine functions

Karel Stroethoff

Mathematical Sciences

Research output: Contribution to journal › Comment/debate

Abstract

In this note I give an elementary derivation of the power series expansions for the sine and the cosine function.

Original language	English
Journal	International Journal of Mathematical Education in Science and Technology
DOIs	https://doi.org/10.1080/0020739X.2026.2661780
State	Accepted/In press - 2026

Keywords

cosine
Power series expansions
sine

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10.1080/0020739X.2026.2661780

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title = "An elementary derivation of the power series expansions for the sine and cosine functions",

abstract = "In this note I give an elementary derivation of the power series expansions for the sine and the cosine function.",

keywords = "cosine, Power series expansions, sine",

author = "Karel Stroethoff",

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year = "2026",

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language = "English",

journal = "International Journal of Mathematical Education in Science and Technology",

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AU - Stroethoff, Karel

PY - 2026

Y1 - 2026

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AB - In this note I give an elementary derivation of the power series expansions for the sine and the cosine function.

KW - cosine

KW - Power series expansions

KW - sine

UR - https://www.scopus.com/pages/publications/105039227221

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DO - 10.1080/0020739X.2026.2661780

M3 - Comment/debate

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SN - 0020-739X

JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

ER -

An elementary derivation of the power series expansions for the sine and cosine functions

Abstract

Keywords

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