For angles greater than 360 degrees, subtract multiples of 360 so that the relevant angle (the remainder) is between 0 and 360 degrees.
Then
For 90 < x ≤ 180 deg, sin(x) = sin(180-x)
For 180 < x ≤ 270 deg, sin(x) = -sin(x-180)
For 270 < x ≤ 360 deg, sin(x) = -sin(360-x)
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No angle has a sine function greater than 1.
If you look at the definition of the sine function in a triangle, you'll discover that the maximum possible value of the sine function is ' 1 ' and the minimum possible value is ' -1 '. There's no angle that can have a sine greater than ' 1 ' or less than ' -1 '. So the absolute value of the sine of anything is always ' 1 ' or less.
Cosecant is the reciprocal of sine. To find the cosecant of an angle using a calculator, find the sine of that angle (using the Sin button) and then divide 1 by the result.
The sine of 180 degrees is 0. Remember, the sine value on a unit circle is the y-value. If you find f(pi) in the function f(x)=sin(x), you will get zero as an answer.
You use the arcsine or sin-1 function. For any value of sin(X), the function will return a value for the angle in the range [-pi/2, pi/2]. There are, however, infinitely many angles which will have the same value for sine. They are X + 2k*pi and (2k+1)*pi - X radians where k is any integer. If you still work with degrees, the answers are X + 360k and (2k+1)*180 - X degrees.