madddiepalmer madddiepalmer
  • 02-01-2019
  • Mathematics
contestada

Which of the following angles can be used to evaluate cot(-210)

Respuesta :

Аноним Аноним
  • 02-01-2019

Answer:

30 degrees

Step-by-step explanation:

360 - 210 = 150 degrees

cot -210 = cot 150

= - cot 30

= - 1 / tan 30.

So 30 degrees can be used here.

Answer Link
gmany
gmany gmany
  • 02-01-2019

The cotangent period is 180°.

Therefore

[tex]\cot(-210^o)=\cot(-210^o+180^o)=\cot(-30^o)[/tex]

Cotangent is an odd function. Hence:

[tex]\cot(-x)=-\cot(x)[/tex]

Therefore

[tex]\cot(-30^o)=-\cos30^o[/tex]

[tex]\cot30^o=\sqrt3[/tex]

Answer:

[tex]\boxed{\cot(-210^o)=-\sqrt3}\to\text{Use}\ 30^o[/tex]

Answer Link

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