Question

Is sin2(x) + cos2(x) = 1 the same as sin(α2) + cos(α2) = 1?

Answer 1

\[\sin^2(x)+\cos^2(x)=1\]

Answer 2

so is that the same as sin(α^2) + cos(α^2) = 1?

Answer 3

i dont think you second equation is necessarily true

Answer 4

no it is not the same.

Answer 5

in the first part what you're squaring are sine and cosine

in the second part, what you're squaring are the angles

therefore, different things are squared, so different results