Question

evaluate. write your answer in simplified, rationalized form. do not round. sin 30° = submit video questions answered 2 time elapsed 00 02 36 hid min sec smartscore out of 100 19

Explanation:

Step1: Recall the value of sine for 30 degrees

In a 30 - 60 - 90 triangle, the side opposite the 30° angle is half the hypotenuse. By the definition of sine (sine of an angle in a right - triangle is the ratio of the length of the opposite side to the hypotenuse), if we let the hypotenuse be \(h\) and the side opposite 30° be \(o\), then \(o=\frac{1}{2}h\). So, \(\sin(30^{\circ})=\frac{o}{h}=\frac{\frac{1}{2}h}{h}\).

Step2: Simplify the ratio

When we simplify \(\frac{\frac{1}{2}h}{h}\), the \(h\) terms (where \(h
eq0\)) cancel out, and we are left with \(\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)