The value of tan 315°

Assessment: WAEC SSCE - General Mathematics - 1992 (Objective) Subject: General Mathematics

Question 1 Report

The value of tan 315°

Answer Details
To find the value of tan 315°, we can use the identity: tan (θ + 180°) = tan θ Since tan (315° + 180°) = tan 495°, and 495° is coterminal with 135°, we have: tan 315° = tan (135° + 180°) = tan 135° Using the fact that tan 45° = 1, and tan (θ + 90°) = -cot θ, we have: tan 135° = tan (45° + 90°) = -cot 45° = -1 Therefore, the value of tan 315° is -1.
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