JAMB Mathematics 1991 Question 40

Question 40

Trigonometry

Simplify cos2 x(sec2x + sec2 x tan2x).

  1. A.Tan x
  2. B.Tan x sec x
  3. C.sec2 x
  4. D.Cosec2 x
Show the answer and explanation

Answer: C (sec2 x)

Explanation

cos2x × sec2x = 1, so the expression is 1 + tan2x = sec2x.