Friday, August 12, 2011

Arcsin (x) = 1/2 what's sin(x), cos(x), tan(x), csc(x), sec(x),cot(x)? when arccos(x) = -1 what's csc(x)?

well set up a reference triangle if you need one. arcsin(x) = 1/2 is the same as saying sin(theta) =1/2 so theta = pi/6. but then you have a 30-60-90 triangle with a short side of 2, and long side of 1 and a hypotenuse of sqrt(3). Cos(pi/6) = sqrt(3)/2, the tan(pi/6) = 2, csc(pi/6) is 2, sec(pi/6) = 2/sqrt(3), and cot(pi/6) = 1/2

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