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30 June, 03:25

Find cosФ if tanФ = 1/2

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  1. 30 June, 05:00
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    cosФ = 2√5/5.

    Step-by-step explanation:

    We have a right angled triangle here with the legs = 1 and 2.

    So, by Pythagoras, the hypotenuse = √ (1^2 + 2^2)

    = √5

    As the tan of Ф = opposite / adjacent = 1 / 2 then the cosine is adjacent / hypotenuse = 2/√5 or 2√5/5.
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