Simplify the trigonometric expression: .

Answer and explanation

Correct answer: B.

  1. Step 1: Substitute the double-angle identities into the expression: and , so .
  2. Step 2: Substitute and simplify: .
Answer
.
Why not the others: is the reciprocal fraction ; ignores the denominator factor ; replaces tangent with the reciprocal cosine function.

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