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`        tan^-1(2)+tan^-1(3)=cosec^-1(X) solve.   Hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh`
8 months ago

2043 Points
```							note that tan^-1(2) is greater than tan^-1(1)= pi/4similarly tan^-1(3) is greater than tan^-1(1)= pi/4so, the sum tan^-1(2)+tan^-1(3) is greater than pi/4 + pi/4 = pi/2however, range of RHS cosec^-1(X) is [-pi/2, 0)U(0,pi/2].so, LHS is greater than pi/2 but RHS is less than pi/2so, there exists no solution.kindly approve :)
```
8 months ago
Arun
24740 Points
```							 Dear student tan^-1 (2) + tan^-1 (3) = pi +  tan^-1 (5/-5) = pi – pi/4 = 3pi/4 hence cosec^-1(x) = 3pi/4hence no solution as cosec^-1 x has range from [- pi/2,0) U (0, pi/2]
```
8 months ago
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### Course Features

• 31 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions