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

  1. Recalling standard values of sine function

The sine of 60 degrees is a known value in trigonometry:

$$\sin(60^\circ) = \frac{\sqrt{3}}{2}$$

  1. 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.

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