Question

PLS HELP ME PASS THIS CLASS Y’ALL

Answer 1

I think the answer is B hope this would help you

Answer 2

Answer:

angle of rotation will be 60°

Step-by-step explanation:

The given matrix is

$\begin{bmatrix}\frac{1}{2} & -\frac{\sqrt{3}}{2}\\ \frac{\sqrt{3}}{2} &\frac{1}{2}\end{bmatrix}$

And we have to find the angle of rotation.

Since matrix showing angle of rotation θ  is denoted by

$\begin{bmatrix}cos\theta &-sin\theta \\ sin\theta & cos\theta \end{bmatrix}$

Matrix for angle of rotation will be

$\begin{bmatrix}cos60 &-sin60 \\ sin60 &cos60\end{bmatrix}$

Therefore, angle of rotation will be 60°