Find cosФ if tanФ = 1/2

By: USER2178
3 September 2025 mathematics 5 minutes
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Grade: Education Subject: mathematics
Find cosФ if tanФ = 1/2
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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.

Answered on 3 September 2025

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