la5rtiggsMikamichel la5rtiggsMikamichel
  • 21-11-2016
  • Mathematics
contestada

Find 2 solutions for cot(θ)=-√3 what is the easiest way to find this? ...?

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HomertheGenius
HomertheGenius HomertheGenius
  • 22-11-2016
cot t = - √3
cos t / sin t = - √3
cos t = - √3 sin t
cos t + √3 sin t = 0  /:2
1/2 cos t + √3/2 sin t = 0         ( we will use the additional formula )
sin 30° * cos t + cos 30° * sin t = 0
sin ( 30° + t ) = 0
30° + t = 0,  t = - 30°
30° + t = 180°  t = 150°
Answer:
t 1 = - π/6,
t 2 = 5π/6
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