Find the Exact Value sin(37 degrees )

Problem

sin(37)

Solution

1. Identify the angle 37 as a common approximation used in physics and geometry related to the 3−4−5 right triangle.

2. Recall that in a right triangle with side lengths 3 4 and 5 the interior angles are approximately 36.87 and 53.13

3. Relate the angle 37 to the side opposite the length of 3 and the hypotenuse of length 5

4. Apply the definition of the sine function, which is the ratio of the opposite side to the hypotenuse.

5. Calculate the ratio to find the value.

sin(37)≈3/5

sin(37)≈0.6

Final Answer

sin(37)=0.60181502...

Want more problems? Check here!