193k views
2 votes
Given that sinθ=3/5

, find cosθ
and tanθ
. Write your answers as fractions in simplest form.

User Dwelle
by
8.5k points

1 Answer

3 votes

Answer:

cos θ = 4/5.

tan θ = 3/4.

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.

User Gaurav K
by
8.2k points

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