You need a scientific calculator, or one with function keys.
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For any calculator Sec(Secant) = 1/Cos Csc (Cosecant) = 1/ Sin Cot (Cotangent) = 1/Tan
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.
It is short for sine (pronouncing it as sin annoys many maths teachers). Check this site out for detailed info. http://www.clarku.edu/~djoyce/trig/
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you have to do the arcsin which is sin-1 on your calculator. i have not met anyone in my life who can do sin or arcsin in their head. not even my college teachers. your theta is equal to 20degrees