What is the exact value of ?

Answer and explanation

Correct answer: C.

  1. Step 1: Evaluate : since sine is an odd function, .
  2. Step 2: Evaluate : in Quadrant II, cosine is negative: .
  3. Step 3: Add the terms: .
Answer
.
Why not the others: '' assumes the terms cancel, treating cosine in Quadrant II as positive; '' ignores both negative signs; '' confuses with .

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