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Advanced Trigonometry, SMB-008 MC

Consider the angle  \(\theta = 290^{\circ}\).

Which of the following correctly describes the quadrant containing this angle?

  1. The quadrant where \(\cos \theta\) is negative and \(\sin \theta\) is positive.
  2. The quadrant where \(\cos \theta\) is negative and \(\sin \theta\) is negative.
  3. The quadrant where \(\tan \theta\) is negative and \(\cos \theta\) is positive.
  4. The quadrant where \(\cos \theta\) is positive and \(\sin \theta\) is negative.
Show Answers Only

\(D\)

Show Worked Solution

\(\text{The angle 290° is in the 4th quadrant}\ (270^{\circ} \lt 290^{\circ} \lt 360^{\circ})\)

\(\text{Quadrant IV:}\ \sin(-), \cos (+), \tan(-) \)

\(\Rightarrow D\)

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

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