What is the value of ?

Answer and explanation

Correct answer: B.

  1. Step 1: In a right-angled triangle with acute angles and , the side adjacent to the angle has length while the hypotenuse has length .
  2. Step 2: Using the trigonometric cosine ratio, .
Answer
.
Why not the others: Other options result from confusing reciprocal trigonometric ratios, applying incorrect complementary angle identities, or algebraic slips in squaring ratios.

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