Simplifying A Trigonometric Expression

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Also, cos^2x = 1-sin^2x distribute then sin^3x is left out😊

azrs

If anyone is curious why is sin^2(x) + cos^2(x) = 1. Think about what sin and cos are, they are defined to be a relationship between a triangles side and hypotenuse. Namely we can rewrite above as (o/h)^2 + (a/h)^2 = 1. Now let’s times both sides by h^2 giving, o^2 + a^2 = h^2, but on the unit circle h = 1 so sqrt(o^2 + a^2) = 1. This is also the pythagorean theorem with h = 1 ( usually h is denied as c)

MathPhysicsFunwithGus

Sir i have also a question that square root of 4 is a rational number???

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