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Advanced Trigonometry, SMB-012 MC

In which quadrant does \(\theta\) lie, given the following information:

\(\tan \theta \lt 0,\ \ \cos \theta \lt 0\)

  1. 1st Quadrant
  2. 2nd Quadrant
  3. 3rd Quadrant
  4. 4th Quadrant
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\(B\)

Show Worked Solution

\(\tan \theta \lt 0\ \ \Rightarrow\ \ \text{2nd/4th quadrants}\)

\(\cos \theta \lt 0\ \ \Rightarrow\ \ \text{2nd/3rd quadrants}\)

\(\theta\ \text{must be in the 2nd quadrant}\)

\(\Rightarrow B\)

Filed Under: Unit Circle Tagged With: num-title-ct-pathd, smc-5601-10-Find quadrant

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