Solve for Sin 60°: Explanation and Calculation Using Trigonometry

sin 60°

0.866

sin 60° is equal to the square root of 3 divided by 2 or 0.866.

To understand why, consider a right angled triangle where one of the angles is 60° and the hypotenuse has a length of 1 unit. The opposite side of this angle will have a length of sin 60°.

Using trigonometry, we can determine that the length of the adjacent side of the triangle is 1/2 and the length of the opposite side is √3/2.

Thus, sin 60° is equal to the length of the opposite side (which is √3/2). Simplifying this gives us sin 60° = √3/2 = 0.866.

Therefore, sin 60° is approximately equal to 0.866.

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