evaluate. write your answer in simplified, rationalized form. do not round. sin 30° =

evaluate. write your answer in simplified, rationalized form. do not round. sin 30° =
Answer
Explanation:
Step1: Recall sine - value of special angle
The sine of 30 - degree angle is a well - known value in trigonometry. In a right - triangle where one of the non - right angles is 30 degrees, if the hypotenuse is of length (c), the side opposite the 30 - degree angle is of length (\frac{1}{2}c). By the definition of sine ((\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}})), for (\theta = 30^{\circ}), (\sin30^{\circ}=\frac{1}{2}).
Answer:
(\frac{1}{2})