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JAMB Mathematics 1981 Question 37

Question 37

Trigonometry

Show that sin2x/(1 + cos x) + sin2x/(1 − cos x) is

  1. A.sin x
  2. B.cos2 x
  3. C.sin2 x
  4. D.1
  5. E.2.
Show the answer and explanation

Answer: E (2.)

Explanation

Over the common denominator 1 − cos²x = sin²x, the top is sin²x(1 − cos x + 1 + cos x) = 2sin²x. So the sum is 2.