If tan(A) = 3/5, then find the value of cos(A).

Question

Accepted Answer

Given tan(A) = 3/5, we know tan(A) = opposite/adjacent. Let opposite = 3k and adjacent = 5k for some k.

Using Pythagoras theorem, hypotenuse = √(3k)^2 + (5k)^2 = √(9k^2 + 25k^2) = √(34k^2) = k√34.

Cos(A) = adjacent/hypotenuse = 5k / (k√34) = 5/√34.

Thus, the correct answer is 5/√34.

Answer

Answer

Answer