Question

For each angle e listed below, find the reference angle a, and then find sin 8. Round sin 0 to four decimalplaces, if necessary.o = 255?Choice 'A'Choice 'B'sin 75º = 0.9657sin 255º = -0.9657sin 75º = 0.9659sin 255º = 0.9659sin 75° = 0.9659sin 255º = -0.9659sin 75º = 0.9661sin 255º = 0.9657Choice 'C'Choice 'D'557Light rainmsi

Answer 1

Reference angle,

When an angle is drawn on the coordinate plane with a vertex at the origin, the reference angle is the angle between the terminal side of the angle and the x-axis. The reference angle is always between 0 and 2π radians (or between 0 and 90 degrees).

angle: 255°

reference angle: 75°

Initial angle lies in 3rd quadrant.

now, let's calculate, sin(θ)

`\begin{gathered} \sin\left(255^(\circ\:)\right)=-0.9659 \\ \sin\left(75^(\circ\:)\right)=0.9659 \end{gathered}`

answer: Choice 'C'