I am having a lot of trouble understanding reflections and formulas. These two problems really have me confused. Any sort of guidance would help. Thank you.

1)By explicit comparison of formulas, verify that if R is the reflection across the x-axis and is the counterclockwise rotation about (0, 0) through the angle , then is the reflection across the line L making an angle with the positive x-axis, for any . Thus, every reflection across a line L passing through (0, 0) equals for some angle .

so but what would be the formula for R so I can apply this to

2)Let R be the reflection across the x-axis and let be the counterclockwise rotation about (0,0) through the angle

a) prove:

b) prove: if is any reflection across a line L passing through (0, 0), then

a) i kinda understand this issue of inverses, am I gonna have to actually apply the formula for p theta? again, not sure about what R is.

b) same thing, but what is the difference between R and R_L??