How do you evaluate cot 400cot400?

1 Answer
Shwetank Mauria
Sep 29, 2016

cot400^o=1.1918cot400o=1.1918

Explanation:

Al trigonometric ratios are in a cycle of 2pi2π radians or 360^o360o i.e. their values repeat after 2pi2π radians or 360^o360o,

Hence, cotx=cot(360^o+x)=cot(720^o+x)=cot(x-360^o)=cot(x-720^o)cotx=cot(360⊕x)=cot(720⊕x)=cot(x−360o)=cot(x−720o) etc.

Hence cot400^o=cot(360^o+40^o)=cot40^ocot400o=cot(360⊕40o)=cot40o

and from tables cot40^o=1.1918cot40o=1.1918

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