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Prove $\left(x\sin\left(x\right)-y\cos\left(x\right)\right)^2+\left(x\cos\left(x\right)+y\sin\left(x\right)\right)^2=x^2+y^2$

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 Solution

 Formulas

 Videos

Why sin(x)^2 + cos(x)^2= 1 ?

https://www.youtube.com/watch?v=bk5HQktvUjs

Polynomial special products: difference of squares | Algebra 2 | Khan Academy

https://www.youtube.com/watch?v=uNweU6I4Icw

Algebra 2 - Solving a factored quadratic equation using the zero product property, -x(3x + 5) = 0

https://www.youtube.com/watch?v=3on6rsKoK_k

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

Algebra 2 - How to use the product rule of logarithms to solve an equation, log6 (x) +log6 (x-9)=2

https://www.youtube.com/watch?v=_MZ4LL4ooE4

Algebra 2 - Graphing a quadratic with translations y = (x-3)^2 - 1

https://www.youtube.com/watch?v=tukJh6ZXyN0

 Function Plot

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 Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

 Used Formulas

See formulas (2)

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