MATH SOLVE

5 months ago

Q:
# if cos=3/5, then tan=

Accepted Solution

A:

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

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