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Advanced Trigonometry, SMB-007 MC

Consider the angle \(\theta = 135^{\circ}\).

Which of the following correctly describes the quadrant in which this angle lies?

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

\(A\)

Show Worked Solution

\(\text{The angle 135° is in the 2nd quadrant.}\)

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

\(\Rightarrow A\)

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

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