Find-the-value-of-the-expression-2arcctg-tg3-3arctg-ctg2-a-2pi-3-b-12-c-6-d-pi-4-2-e-3pi-2-

Question Number 181066 by Shrinava last updated on 21/Nov/22

Find the value of the expression :

2 arcctg (tg 3) - 3 arctg (ctg 2)

a) 2 π - 3 b) 12 c) - 6 d) π - 4 / 2 e) 3 π / 2

Commented by mr W last updated on 22/Nov/22

a l l a n s w e r s g i v e n a r e w r o n g!

Answered by mr W last updated on 22/Nov/22

2 \cot^{- 1} (\tan 3) = 2 (\frac{π}{2} - 3) = π - 6

3 \tan^{- 1} (\cot 2) = 3 (\frac{π}{2} - 2) = \frac{3 π}{2} - 6

\dots . = π - 6 - (\frac{3 π}{2} - 6) = - \frac{π}{2} ✓

Commented by Shrinava last updated on 24/Nov/22

thank you dera professor