What is the sine of 60 degrees?
Understand the Problem
The question is asking for the value of the sine function at an angle of 60 degrees, which is a common trigonometric calculation.
Answer
\( \frac{\sqrt{3}}{2} \)
Answer for screen readers
The final answer is ( \frac{\sqrt{3}}{2} )
Steps to Solve
- Recalling standard values of sine function
The sine of 60 degrees is a known value in trigonometry:
$$\sin(60^\circ) = \frac{\sqrt{3}}{2}$$
- Calculating the value
Plugging in the known value:
$$\sin(60^\circ) = \frac{\sqrt{3}}{2} \approx 0.866$$
The final answer is ( \frac{\sqrt{3}}{2} )
More Information
The value of ( \sin(60^\circ) ) is a standard trigonometric value often memorized for quick calculations.
Tips
A common mistake is to confuse the sine values of special angles like 30, 45, and 60 degrees. Remembering their exact values helps avoid such mistakes.