Sine and cosine
Special angle measures

As stated, the values sin (α) {\displaystyle \sin(\alpha)} and cos (α) {\displaystyle \cos(\alpha)} appear to depend on the choice of a right triangle containing an angle of measure α {\displaystyle \alpha }. However, this is not the case as all such triangles are similar, and so the ratios are the same for each of them. For example, each leg of the 45-45-90 right triangle is 1 unit, and its hypotenuse is 2 {\displaystyle {\sqrt {2}}}; therefore, sin 45 ∘ = cos 45 ∘ = 2 2 {\textstyle \sin 45^{\circ }=\cos 45^{\circ }={\frac {\sqrt {2}}{2}}}. The following table shows the special value of each input for both sine and cosine with the domain between 0 < α < π 2 {\textstyle 0<\alpha <{\frac {\pi }{2}}}. The input in this table provides various unit systems such as degree, radian, and so on. The angles other than those five can be obtained by using a calculator.
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