Question

In a right triangle, the value of cos B = 3/5. What is the value of sin B?

[Leave your answer as a fraction]

Answer 1

4/5

Explanation:

cos B = 3/5

cos Ф = adjacent/hypothesis

hypothesis ² = adjacent² + opposite²

5²= 3²+ o²

25 = 9+o²

25-9=o²

16 = o²

√16 = o = 4

Sin B = opposite/hypothesis = 4/5