"Point B (4,0) is rotated 45 degrees clockwise about the origin. Write the exact coordinates of B'."

Answer 1

B' is ... (2√2 , -2√2)

Answer 2

Make a sketch of the right-angled triangle with angle 45° and hypotenuse of 4
sin45 = y/4, cos45 = x/4
y = 4(√2/2) , x = 4√2/2

new point = B(2√2 , -2√2)

Answer 3

Thanks so much!