For which angles does the sine function reach a value of 1?

The sine function reaches a maximum value of 1 at an angle of 90 degrees. This occurs because the sine of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the hypotenuse. At 90 degrees, this ratio equals 1, as the opposite side is equal to the hypotenuse.

Additionally, the sine function is periodic and oscillates between -1 and 1. While angles such as ±90 degrees and ±180 degrees may appear in the context of sine values, it is important to note that at ±90 degrees, the sine function does reach the maximum value of 1 and -1 respectively at ±180 degrees, but it does not equal 1 at those angles. The sine of 0 and ±360 degrees equals 0, while at 90 degrees, the sine reaches its peak value of 1. Hence, the only angle listed that specifically yields a sine value of exactly 1 is 90 degrees.