Question

question 5 (1 point)
the statement \\( \sin 45 ^ { \circ } = \sin 135 ^ { \circ } \\) is
a) never true
b) true only for counterclockwise rotations
c) true only for clockwise rotations
d) always true

Explanation:

Step1: Calculate \(\sin45^{\circ}\)

We know that \(\sin45^{\circ}=\frac{\sqrt{2}}{2}\)

Step2: Calculate \(\sin135^{\circ}\)

Using the formula \(\sin(A)=\sin(180 - B)=\sin B\) (where \(A = 135^{\circ}\) and \(B=45^{\circ}\)), so \(\sin135^{\circ}=\sin(180^{\circ}- 45^{\circ})=\sin45^{\circ}=\frac{\sqrt{2}}{2}\)

Answer:

d) always true