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Question no 14 in attached image. Please help F(x)=1-cosx/sinx ,g(x)=sinx/1+cosx ,then (f*g)x

Question no 14 in attached image.
Please help
F(x)=1-cosx/sinx ,g(x)=sinx/1+cosx ,then (f*g)x
 
 

Question Image
Grade:12th pass

2 Answers

Rajat
213 Points
4 years ago
f(X) = 1-cosx/sinx = (1-cosx)(1+cosx)/sinx(1+cosx)
= sin^2x/sinx(1+cosx) = sinx/1+cosx= g(X)
So, (f.g)X=f^2(X)
Vikas TU
14149 Points
4 years ago
Dear student 
Take value of g(x) as x , 
F*G(X ) = 1-cos(sinx/(1+cosx))/sin(sinx/(1+cosx))
Hope this helps 
Good luck 
Cheers 

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