2 answers:
This is a 3-4-5 triangle.
Remember,
SOH-CAH-TOA
S(ine) = O(pposite)/H(ypotenuse)
C(osine) = A(djacent)/H(ypotenuse)
T(angent) = O(pposite)/A(djacent)
In Cosine, the adjacent = 3, and the Hypotenuse = 5
Hypotenuse is the longest side.
3,4,5 is the triangle that fits inside, therefore, the Opposite is 4, and Adjacent is 3
T(angent) = O(pposite)/A(djacent)
Plug in the numbers
T = 4/3
tan = 4/3 is your answer
hope this helps
So cosФ = 3/5 means that ratio of length of adjacent side to length of hypotenuse side is 3:5
So then we can assume adjacent side is 3 and hypotenuse is 5.
By Pythagoras<span>' </span>Theorem, we have √(5² - 3²) = 4, so then length of opposite side would be 4.
Now tanФ is ratio of length of opposite side to length of adjacent side, which would be 4/3.
Final answer: 4/3
Hope this helps.
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