$\sec\left(x\right)-\sin\left(x\right)\tan\left(x\right)=\cos\left(x\right)$

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Proof the identity sin(x)^2 = 1 - cos(x)^2

https://www.youtube.com/watch?v=g7eVgtmQ7Dk

Proof why tan(x) = sin(x)/cos(x)

https://www.youtube.com/watch?v=MepxHME-LXw

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

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

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

Integralidades indefinidas de pecado (x), cos (x) e eˣ | Matematica | Khan Academy

https://www.youtube.com/watch?v=upYYltnJwn0

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