StudyGPT Just Leveled Up – Say Hello to Knowee! 🚀
Knowee
Questions
Features
Study Tools

A right triangle has side lengths 8, 15, and 17 as shown below.Use these lengths to find cosB, sinB, and tanB.

Question

🧐 Not the exact question you are looking for?Go ask a question

Solution

In a right triangle, the cosine (cos), sine (sin), and tangent (tan) of an angle can be found using the lengths of the sides of the triangle.

Let's assume that B is the angle opposite the side with length 15.

  1. Cosine of B (cosB) is defined as the ratio of the adjacent side to the hypotenuse. In this case, the adjacent side is 8 and the hypotenuse is 17. So, cosB = 8/17.

  2. Sine of B (sinB) is defined as the ratio of the opposite side to the hypotenuse. In this case, the opposite side is 15 and the hypotenuse is 17. So, sinB = 15/17.

  3. Tangent of B (tanB) is defined as the ratio of the opposite side to the adjacent side. In this case, the opposite side is 15 and the adjacent side is 8. So, tanB = 15/8.

So, cosB = 8/17, sinB = 15/17, and tanB = 15/8.

This problem has been solved

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.