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11 June, 04:50

Given sin (-0) = -1/6 and tan0=-√35/35

what is the value of cos0?

a. √35/6

b. √35/210

c. - √35/210

d. - √35/6

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Answers (1)
  1. 11 June, 05:28
    0
    Option a. √35/6

    Step-by-step explanation:

    Given sin θ = - 1/6 and tan θ = - √35/35

    We should know that:

    tan θ = (sin θ) / (cos θ)

    ∴ Cos θ = (sin θ) / (tan θ)

    ∴ Cos θ = (-1/6) / (-√35/35) = (-1/6) * (-35/√35)

    = 35 / (6√35) = (√35 * √35) / (6√35) = √35/6

    The answer is option a. √35/6
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