which numbers complete the blanks when solving the equation cos(x + 2π) = -√2/2 over the interval 0, 2π? cos…

which numbers complete the blanks when solving the equation cos(x + 2π) = -√2/2 over the interval 0, 2π? cos x·____ - sin x·____ = -√2/2 1; 0 0; 1 -1; 0 0; -1

which numbers complete the blanks when solving the equation cos(x + 2π) = -√2/2 over the interval 0, 2π? cos x·____ - sin x·____ = -√2/2 1; 0 0; 1 -1; 0 0; -1

Answer

Explanation:

Step1: Recall cosine addition formula

The formula for $\cos(A + B)=\cos A\cos B-\sin A\sin B$. Here $A = x$ and $B = 2\pi$. Since $\cos(2\pi)=1$ and $\sin(2\pi)=0$, then $\cos(x + 2\pi)=\cos x\cos(2\pi)-\sin x\sin(2\pi)=\cos x\times1-\sin x\times0$.

Answer:

A. 1; 0