Jan 26, 2012 · So how do you know which one to attach +-npi or +-2npi? I have a slight suspicion that it might be due to periods of trig functions, but I don't trust myself when it comes to math. Thanks. What is the period of the tangent function, and what is the period of the sine and the cosine functions?

The value of cos(2npi) is 1, as it represents the cosine of an angle that equals 0 or a full circle rotation around the unit circle in the complex plane.

What is cos (2npi) ?

In this tutorial you will visually understand following two important sine formulas using Unit Circle.

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Aug 3, 2016 · In cos (2npi), '2npi' is the angle measurement in radians. Since the angle is an integer multiple of the full circle rotation (2pi radians), the result will be the cosine of an angle that equals 0 or a complete circle, which always return you to 1.

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Dec 5, 2016 · This is read: cosx is greater than or equal to zero implies x is an element of the union [2npi-pi/2,2npi+pi/2] for all integers n. So, for example, if you substitute n=1, you have cos x is greater than or equal to zero for [2pi-pi/2, 2pi+pi/2] which is true.

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Jun 17, 2014 · The +2npi comes from the period of the function. To work your problem, 3csc 2 (x) -4=0 You isolate the trig function to get csc 2 = 4/3, and therefore sin 2 = 3/4, sin = +/- sqrt (3)/2, and you take the inverse sine of that.