Sin (theta) can most easily be found on a scientific calculator. You can also approximate it with Taylor's Series...
sin(x) = SummationN=0toInfinity (-1N / (2N + 1) !) (x(2N+1)))
sin(x) = x - x3/3! + x5/5! - x7/7! + ...
Using only the four terms above, you can approximate sin(x) within about 0.000003 in the interval x = [-1, +1].
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Since theta is in the second quadrant, sin(theta) is positive. sin2(theta) = 1 - cos2(theta) = 0.803 So sin(theta) = +sqrt(0.803) = 0.896.
4Sin(theta) = 2 Sin(Theta) = 2/4 = 1/2 - 0.5 Theta = Sin^(-1) [0.5] Theta = 30 degrees.
Sin theta of 30 degrees is1/2
(/) = theta sin 2(/) = 2sin(/)cos(/)
You can use the Pythagorean identity to solve this:(sin theta) squared + (cos theta) squared = 1.