linear transformations FM

[severe crest]

I don’t understand how to find the fricking angle

[iron flicker]

so theres a matrix for anticlocwise rotations

lemme find it

so u basically equate each part of R to this

and solve for theta

ur gonna get multiple values for theta

when you do the equating and solve for theta you'll see the same angle appear in each of them

thats the angle of rotation

[severe crest]

How do I solve for it

Is it in AS math cos I haven’t covered it @iron flicker

[severe crest]

<@&791435371564892232>

[silk atlas]

cos(x) = cos(-x)

[severe crest]

I’m still baffled

[silk atlas]

sin^-1 (1/2) = -30 degrees
cos^-1 (root3/2) = 30 degrees

But cos^-1 (root3/2) also = -30 degrees

Theta = -30 degrees

[severe crest]

The rotation is 330 degrees is what solution bank says @silk atlas

[silk atlas]

yeh which is the same as -30 degrees lol

330 degrees anti clockwise