Question

sinpi•x+cospi•x=1. va rog mult....​

Answer 1

Răspuns:

Explicație pas cu pas:

$\sin(\pi\cdot x)+\cos(\pi\cdot x)=1|()^2\\\sin^2(\pi\cdot x)+2\cdot\sin(\pi\cdot x)\cdot\cos(\pi\cdot x)+\cos^2(\pi\cdot x)=1\\1+\sin(2\pi x)=1\\\sin(2\pi x)=1\\x=k+\dfrac{1}{4},k\in\mathh{Z}$