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Solve the equation for the positive values of \(\theta\) less than 360o. 3 tan ...

Solve the equation for the positive values of \(\theta\) less than 360o. 3 tan \(\theta\) + 2 = -1
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  • A 135o or 315o
  • B 45o or 135o
  • C 315o or 180o
  • D 315v + 45o
  • E 360o or 315o
Correct Answer: Option A
Explanation:
3 tan \(\theta\) + 2 = -1
3 tan \(\theta\) \(\frac{-3}{3}\) = -1
\(\theta\) = tan -1(-1)
\(\theta\) = 360o - 45o
= 315o
\(\theta\) = 180 - 45o = 135o

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