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Advanced Trigonometry, SMB-006 MC

Consider the angle  \(\theta = 260^{\circ}\)

Determine which of the following descriptions correctly identify 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 positive and \(\tan \theta\) is positive.
  3. The quadrant where \(\tan \theta\) is negative and \(\sin \theta\) is positive.
  4. The quadrant where \(\cos \theta\) is negative and \(\sin \theta\) is negative.
Show Answers Only

\(D\)

Show Worked Solution

\(260^{\circ}\ \text{lies in Quadrant III}\ \ (180^{\circ} \lt 260^{\circ} \lt 270^{\circ}) \)

\(\text{In quadrant III:}\ \ \tan (+), \sin (-), \cos (-)\)

\(\Rightarrow D\)

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

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