sine[theta]=opposite/hypotenuse=square root of (1-[cos[theta]]^2)
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The sine of an angle in a right triangle is opposite/hypotenuse, where opposite is the only side that is not adjacent to the angle you want to find the sine of, and the hypotenuse is the side opposite the right angle in the triangle. Just find opposite/hypotenuse.
Sine ratio = opposite/hypotenuse
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
Divide -900 by 360, and the remainder will be the angle you need to find the sine of: -900 / 360 = -2.5 --> -900 = 360*(-2 - 0.5), so sine(-180°) = sine(-900°). sine(-180°) = 0
To find the angle whose sine is 0.151, you can use the inverse sine function (arcsin). Using a calculator, the angle is approximately 8.68 degrees or 0.151 radians. Keep in mind that sine is positive in both the first and second quadrants, so the angle could also be 171.32 degrees (or 3.00 radians) if considering the range of possible angles.