use the special triangle on the unit circle to determine 0 in degrees when sin0=3squared/2
To use the special triangle on the unit circle to determine 0 in degrees when sin0 = 3^2/2, we need to find the angle whose sine value is equal to 3^2/2.
In the special triangle on the unit circle, we have a right triangle with one leg of length 1 and the hypotenuse of length 1, forming a right angle at the origin. The other leg, known as the opposite side, can be determined using the Pythagorean theorem.
Since sin0 = opposite/hypotenuse, we have:
3^2/2 = opposite/1
Multiplying both sides by 2, we get:
9 = opposite
Since the opposite side represents the y-coordinate on the unit circle, we conclude that 0 in degrees is the angle whose sine value is 3^2/2.
However, there is no angle in the unit circle whose sine value is 3^2/2, because the range of the sine function is -1 to 1. Therefore, there is no angle 0 in degrees that satisfies sin0 = 3^2/2.