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2 August, 21:31

Use the unit circle to find the value of cot (-270°). Question 3 options: cot (-270°) = 1 cot (-270°) = - 1 cot (-270°) = 0 undefined

Question 3 options:

cot (-270°) = 1

cot (-270°) = - 1

cot (-270°) = 0

undefined

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Answers (1)
  1. 2 August, 21:41
    0
    cot (-270) = 0

    Step-by-step explanation:

    given cot (-270)

    In trigonometry function we will use cot (-x) = - cotx

    so cot (-270) = - cot270

    trigonometry table

    II quadrant I quadrant (All positive)

    sin θ 90+θ 90 - θ

    cosec θ 180-θ 360+θ

    third quadrant fourth quadrant

    tan θ 180+θ cos θ 270+θ

    cot θ 270 - θ sec θ 360-θ

    Given

    cot (-270) = - cot (270)

    = - cot (180 + 90) (third quadrant above table)

    = - cot 90 = 0 (cot θ positive in third quadrant

    Final answer:-

    cot (-270) = 0
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