Find the Value Using the Unit Circle sin(20)

Problem

sin(20)

Solution

1. Identify the angle and the unit. The task asks for the sine of 20 which is typically interpreted as 20 in the context of introductory unit circle problems.

2. Determine if the angle is a standard value on the unit circle. Standard angles are multiples of 30 or 45 (e.g., 0,30,45,60,90.

3. Recognize that 20 is not a standard angle on the unit circle. Therefore, its sine cannot be expressed using simple radicals like 1/2 or √(,3)/2

4. Approximate the value using a calculator or trigonometric tables if a decimal value is required. The sine of an angle in the first quadrant is the ycoordinate of the point on the unit circle.

5. Calculate the numerical value.

sin(20)≈0.342020143

Final Answer

sin(20)≈0.3420

Want more problems? Check here!