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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 :))

PLS HELP ME PASS THIS CLASS Y’ALL Which angle of rotation is determined by the matrix-example-1

2 Answers

5 votes
I think the answer is B hope this would help you
PLS HELP ME PASS THIS CLASS Y’ALL Which angle of rotation is determined by the matrix-example-1
User Gokcand
by
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1 vote

Answer:

angle of rotation will be 60°

Explanation:

The given matrix is


\begin{bmatrix}(1)/(2) & -(√(3))/(2)\\ (√(3))/(2) &(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°

User Jejjejd
by
8.7k points

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