UI Post-UTME Mathematics 2019 (Model questions) Question 10

Question 10

Trigonometry

sin2x/(1 + cos x) + sin2x/(1 − cos x) is same as

  1. A.2
  2. B.1
  3. C.sin x
  4. D.cos2x
Show the answer and explanation

Answer: A (2)

Explanation

Over a common denominator: sin²x(1 − cos x + 1 + cos x)/(1 − cos²x) = 2sin²x/sin²x = 2.