To find the values of sine, cosine, and tangent at the angle of 8π/4 radians, we first simplify this angle. The fraction 8π/4 simplifies to 2π, since 8 divided by 4 equals 2.
The angle 2π radians corresponds to a complete rotation around the unit circle, which brings us back to the positive x-axis.
Now, we can find the values:
- Sine: sin(2π) = 0
- Cosine: cos(2π) = 1
- Tangent: tan(2π) = sin(2π) / cos(2π) = 0 / 1 = 0
In summary:
- Sine of 8π/4: 0
- Cosine of 8π/4: 1
- Tangent of 8π/4: 0