Given the right triangle below, evaluate cos⁡θ\cos\thetacosθ.

cos ⁡ θ = 15 17 \cos\theta=\frac{15}{17} cos θ = 17 15

Given the right triangle below, evaluate cos ⁡ θ \cos\theta cos θ .

Hey everyone. So let's try solving this problem. Here it says given the right triangle below, evaluate the cosine of theta, which is this angle. So let's see what we can do. Now in order to solve this problem, you need to remember SOHCAHTOA. SOHCAHTOA is a memory tool that we use to recall the trigonometric functions and how they relate to a right triangle. Now in this case, we have the sine, cosine, and tangent. And since I can see that we are asked to find the cosine of theta, what I'm going to do is use this relationship right here. This tells us that the cosine of our angle theta is equal to adjacent over hypotenuse. So this tells us how the sides of the triangle relate to our cosine function. And what we can do to find these sides is we can look at our angle theta, because that's what this cosine is, and we can see that the adjacent side to this angle is 15. So that means that we're going to have 15, and then this is going to be divided by the hypotenuse, which is the long side or 17. So the cosine of our angle theta is 15 over 17, and that is the answer to this problem. So hope you found this video helpful. Thanks for watching.