Question

Given tan ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b . Determine the values of a and b.

Answer 1

tan is opposite/adjacent. sin is opposite/hypotenuse. given the two values, you can use the pythagorean theorem to find that the hypotenuse is √ 61.
a is the opposite which is 5, and b is the hypotenuse which is √61