Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

The value of tan-11+ tan-12 +tan-13 is

Options:

0

1

π

Correct Answer:

π

Explanation:

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.