Question

Now that you know the value of x, find the value of sin45° or sin pi/4?

1) 0.707
2) 1
3) 0.5
4) 0.866

Answer 1

The value of sin45° or sin π/4 is √2/2, which is approximately 0.707, making option 1) the correct answer.

Step-by-step explanation:

The value of sin45° or sin π/4 is a well-known trigonometric constant. In a right-angled triangle with two sides of equal length, the angles opposite these sides are both 45°, forming an isosceles right triangle. Using the Pythagorean theorem, each side of the triangle can be proved to be √2 times the length of the hypotenuse. The definition of sine for an angle in a right-angled triangle is the opposite side over the hypotenuse, so sin45° or sin π/4 equals √2/2, which is approximately 0.707. Therefore, the correct answer from the provided options is 1) 0.707.