Answer:
- sin(11π/6) = -1/2
- cos(11π/6) = (√3)/2
- tan(11π/6) = -1/√3 = -(√3)/3
Step-by-step explanation:
The reference angle is π/6, and the angle is in the 4th quadrant. So, sine and tangent will be negative while cosine is positive. You have memorized the values of trig functions for π/6, so you know ...
- sin(π/6) = 1/2
- cos(π/6) = (√3)/2
- tan(π/6) = 1/√3
Adjusting the signs to match those required for a 4-th quadrant angle, you have ...
- sin(11π/6) = -1/2
- cos(11π/6) = (√3)/2
- tan(11π/6) = -1/√3
