WAEC Mathematics 1992 Question 31

Question 31

Trigonometry

The value of tan 315° is

  1. A.1
  2. B.√2/2
  3. C.0
  4. D.−1
  5. E.−√2/2
Show the answer and explanation

Answer: D (−1)

Explanation

315° is in the fourth quadrant where tangent is negative, and its reference angle is 45°, so tan 315° = −tan 45° = −1.