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Prove the trigonometric identity $\sin\left(x\right)\left(\csc\left(x\right)+\sin\left(x\right)\sec\left(x\right)^2\right)=\sec\left(x\right)^2$

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Solving: $\sin\left(x\right)\left(\csc\left(x\right)+\sin\left(x\right)\sec\left(x\right)^2\right)=\sec\left(x\right)^2$
Solve instead: $\sin\left(\csc\left(x\right)+\sin x\sec^2\left(x\right)\right)=\sec^2x$

Solution

Videos

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

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

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

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

Calculus - Take the log of both sides to find the derivative, y = (x(x^2 + 1)^2)/(sqrt(2x^2 - 1))

https://www.youtube.com/watch?v=7aF6Ck6ZRxw

Tutorial - Simplify a trigonometric expression by factoring ex 26, 2(cosx)^2 + cosx - 3

https://www.youtube.com/watch?v=X35--yiv4Ms

Pre-Calculus - Solving a trigonometric equation with our angle divided by 4, 2sin(x/4)+sqrt(3) =0

https://www.youtube.com/watch?v=CijimYb5MTM

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

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

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Main Topic: Proving Trigonometric Identities

To prove a trigonometric identity, you have to show that one side of the equation can be transformed into the other side.

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