CUET Preparation Today
CUET
-- Mathematics - Section B1
Inverse Trigonometric Functions
The value of tan-11+ tan-12 +tan-13 is
0
1
π
-π
We have
tan-11+ tan-12 +tan-13
= tan‑11 + π + tan-1$(\frac{2+3}{1-2× 3})$ (since 2 × 3 > 1)
= tan-11 + π + tan-1$(-\frac{5}{5})$
= tan-11 + π- tan-11 = π
Hence (C) is the correct answer.