The value of sin is:
sin (45∘) = \sqrt 2/2 =0.7071
This is derived from the fact that a 45-degree angle in a right triangle forms an isosceles right triangle, where the two legs are equal in length. The sine of 45 degrees is the ratio of the length of the opposite side to the hypotenuse, and for this type of triangle, the ratio simplifies to Sqrt .
It’s a commonly used value in trigonometry and has practical applications in fields like physics, engineering, and computer graphics!