Use reference angle and appropriate sign to find the exact value of the expression sin510°.


Answer: sin510° = 1/2 or 0.5

solution:

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 510 degrees = 510° × (π/180°) rad = 17π/6 or 8.9011 . . .
∴ sin 510° = sin(8.9011) = 1/2 or 0.5​