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Cot x- cot(3x)is equal to• 2sinxsin3x• 2cosxcos3x• 2cosxcosec3x• 2sinxcosecx

Cot x- cot(3x)is equal to• 2sinxsin3x• 2cosxcos3x• 2cosxcosec3x• 2sinxcosecx

Grade:11

1 Answers

Arun
25763 Points
3 years ago
Dear Avinay
 
Cot x - cot 3x =  cos x / sinx   -  cos 3x / sin3x
 
 = cos x sin 3x - cos 3x sin x /(sinx sin 3x)
 
 = Sin2x / sinx sin3x
 
 = 2 sin x. cos x/ sin x sin3x
 
 = 2 cos x . cosec 3x
 
Hence 3rd option is correct.

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