(Math - Calculus): "DERIVATIVES OF TRIGONOMETRIC FUNCTIONS (WITH PROOF)"

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Hello everyone. My name is Faisal Hanafi Harahap. I live in Medan, North Sumatera, Indonesia. I am a Math student in North Sumatera University (Universitas Sumatera Utara(USU)).

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This is my second post in this community. I want to share about the "Derivatives of Trigonometric Functions (With Proof)".

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To prove the derivatives of the sine and cosine functions, it is necessary to first know about the Special Trigonometric Limits, they are:

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[1] d(sin x)/dx = cos x

Proof:

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[2] d(cos x)/dx = -sin x

Proof:

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[3] d(tan x)/dx = sec² x

Proof:

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[4] d(cot x)/dx = -csc² x

Proof:

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[5] d(sec x)/dx = tan x • sec x

Proof:

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[6] d(csc x)/dx = -cot x • csc x

Proof:

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Reference/Source: Calculus Ninth Edition by Varberg, Purcell, and Rigdon.

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Okay guys, that's all I want to share with all of you at this time. What do you think? Correct me if I'm wrong. Please give your feedback in the comments column. Thank you for seeing this post, see my other posts too😉😉...

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