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15-02-2019
Mathematics

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Find cosФ if tanФ = 1/2

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Аноним Аноним

15-02-2019

Answer:

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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