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WAEC Mathematics 2001 Question 27

Question 27

Trigonometry

Given that sin p = 5/13, where p is acute, find the value of cos p − tan p.

  1. A.79/156
  2. B.85/156
  3. C.7/13
  4. D.8/13
Show the answer and explanation

Answer: A (79/156)

Explanation

The adjacent side is 12, so cos p = 12/13 and tan p = 5/12. 12/13 − 5/12 = (144 − 65)/156 = 79/156.