toritori5714 toritori5714
  • 05-06-2019
  • Mathematics
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How do you evaluate trig functions without a calculator

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Аноним Аноним
  • 05-06-2019

You can't in theory. Only a few "nice" values are known, because they lead to particular triangles. For example, we have

  • [tex]\sin(0)=0,\quad \cos(0)=1[/tex]
  • [tex]\sin(30)=\frac{1}{2},\quad \cos(30)=\frac{\sqrt{3}}{2}[/tex]
  • [tex]\sin(45)=\cos(45)=\frac{\sqrt{2}}{2}[/tex]

You can add other angles using symmetries, for example, you can compute sin(60) using sin(90-x) = cos(x), or similar stuff.

You can also use the double/half angles identities to add another couple of angles in our list, but that's it.

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