Question

PLS HELP ME PASS THIS CLASS Y’ALL

Which angle of rotation is determined by the matrix below? (pictured above)

A. 30 degrees

B. 60 degrees

C. 120 degrees

D. 300 degrees

thank u :))

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°