What is the exact value of sin(45°) in simplified radical form?
Show answer
√2 / 2
In a 45-45-90 triangle, the legs are equal. By the Pythagorean theorem, if legs are 1, the hypotenuse is √2, making the sine 1/√2, which rationalizes to √2/2.
Also asked as:
- What is the value of sin(45°) expressed as a rationalized fraction involving a square root?