WAEC Mathematics 2008 Question 27

Question 27

Trigonometry

If tan x = 1, evaluate sin x + cos x, leaving your answer in the surd form.

  1. A.2√2
  2. B.½√2
  3. C.√2
  4. D.2
Show the answer and explanation

Answer: C (√2)

Explanation

tan x = 1 gives x = 45°, so sin x + cos x = 1/√2 + 1/√2 = 2/√2 = √2.