Answer :
It's the same as cot (-150 or -5pi/6) and that's a reference angle of 30 so cot 30 or pi/6 is sqrt (3) and since it's in the 3rd quadrant, it's positive.
Answer:
cot(-53π/6) = cot(7π/6) = √(3)
Step-by-step explanation:
Remember that a trig function repeats itself every 2π, so you can add any multiple of 2π to your angle and it'll give you the same answer.
cot(-53π/6) = cot(-53π/6 + 2πk)
= cot(-53π/6 + 2π·5)
= cot(-53π/6 + 10π)
= cot(7π/6)
= [-√(3)/2] / [-1/2]
= √(3)
