Question icon
Grade 11Trigonometry

How to solve it what will answer how to use l hospital rule in this sum

Question image for How to solve it what will answer how to use l hos
Profile image of Rathod nikunj maheshbhai
7 Years agoGrade 11
Answers icon

1 Answer

Profile image of Arun
7 Years ago
Dear student
 
As we know
 
Tan 5x = tan (3x + 2x)
 Tan 5x = tan 3 x + tan2x / 1 - tan 3x tan2x
 
Tan5 x - tan5x tan3x tan2x = tan 3x + tan2x
 
Tan5x - tan3x - tan2x = tan 2x tan 5x tan3x
 
Hence
Now use this
 
Hence question becomes as
 
tan 2x tan3x tan5x /30 x³
 
 = Tan 2x /2x * tan 3x /3x * tan5x/5x 
 = 1
 
Hope it helps
 
 =