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Advanced Trigonometry, SMB-011 MC

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

\(\sin \theta \lt 0,\ \ \cos \theta \gt 0\)

  1. 1st Quadrant
  2. 2nd Quadrant
  3. 3rd Quadrant
  4. 4th Quadrant
Show Answers Only

\(D\)

Show Worked Solution

\(\sin \theta \lt 0\ \ \Rightarrow\ \ \text{3rd/4th quadrants}\)

\(\cos \theta \gt 0\ \ \Rightarrow\ \ \text{1st/4th quadrants}\)

\(\theta\ \text{must be in the 4th quadrant}\)

\(\Rightarrow D\)

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

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