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Prove the trigonometric identity $\sec\left(x\right)-\sin\left(x\right)\tan\left(x\right)=\cos\left(x\right)$

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Simplifying basic trig identities - Math homework answers sec(x) (sin(x)/tan(x))

https://www.youtube.com/watch?v=JEv8uSt26bI

Calculus - How to use the chain rule with trigonometric functions, g(x) = sin(x^2)

https://www.youtube.com/watch?v=VyJXnKjRcjk

Pre-Calculus - How to simplify a trigonometric expression by squaring a binomial (sin(x)+cos(x))^2

https://www.youtube.com/watch?v=e5IczuZxvVI

Worked example: Derivatives of sin(x) and cos(x) | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=Iur13MNO0Ro

Derivatives of sec(x) and csc(x) | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=TDJ5nXWEkWM

Derivatives of Trigonometric Functions

https://www.youtube.com/watch?v=PEqCa0U77mc

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Main Topic: Product Rule of differentiation

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

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