Given that sinθ=3/5

, find cosθ

and tanθ

. Write your answers as fractions in simplest form.

cos θ = 4/5.

tan θ = 3/4.

Step-by-step explanation:

Given sin θ = 3/5, we can find the value for the other side of the right triangle.

Using the Pythagorean formula, we can derive the value of this other leg.

5² = 3² + x²

x = 4.

Since sin θ is O/H, the Hypoteneus is 5 and the Opposite side is 3. The Adjacent side is 4, which will be used when finding cos θ and tan θ.

cos θ = A/H - -> cos θ = 4/5.

tan θ = O/A - -> tan θ = 3/4.