Find the exact value of cot(θ) for an angle θ with sin(θ) = -1/6 and with its terminal side in Quadrant III.
2 answers:
Answer:
Option C
Step-by-step explanation:
Please see attached picture for full solution.
x has a negative value since it lies on the left side of the y axis. (Hence we reject positive √35)
Answer:
C. sqrt(35)
Step-by-step explanation:
sin(theta) = opposite/hypotenuse
= -1/6
adjacent = sqrt(6² - 1²)
= sqrt(35)
tan(theta) = opposite/adjacent
Positive in Quadrant III
cot(theta) = adjacent/opposite
= sqrt(35) ÷ 1
= sqrt(35)
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