JamonteJ411488 JamonteJ411488
  • 31-10-2022
  • Mathematics
contestada

Find one positive and one negative angle coterminal with an angle of 166°. 1) 526°, –194°2) 516°, –14°3) 526°, –764) 256°, –76°

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RosetteW466003 RosetteW466003
  • 31-10-2022

SOLUTION

A coterminal angle is an angle that points to an exact direction like the original angle.

Since a complete circle is 360 degrees.

The positive coterminal angle will be

[tex]360^0+166^0=526^0[/tex]

Hence the positive coterminal angle is 526°

Then the negative coterminal angle will be

[tex]166^0-360^0=-194^0[/tex]

hence the negative coterminal angle will be -194°

The positive and negative coterminal angle to 166° are 526°, -194°

Therefore the right option is 1(A)

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