question 5 (1 point)\nthe statement \\( \\sin 45 ^ { \\circ } = \\sin 135 ^ { \\circ } \\) is\na) never…

question 5 (1 point)\nthe statement \\( \\sin 45 ^ { \\circ } = \\sin 135 ^ { \\circ } \\) is\na) never true\nb) true only for counterclockwise rotations\nc) true only for clockwise rotations\nd) always true

question 5 (1 point)\nthe statement \\( \\sin 45 ^ { \\circ } = \\sin 135 ^ { \\circ } \\) is\na) never true\nb) true only for counterclockwise rotations\nc) true only for clockwise rotations\nd) always true

Answer

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