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What is the general solution of tan7x.tan3x=-1? What are its principle solutions?

What is the general solution of tan7x.tan3x=-1? What are its principle solutions?

Grade:11

1 Answers

Arun
25750 Points
5 years ago
 
we can write it as 
 
sin 7x sin3x + cos 7x cos 3x = 0
hence
 
cos (7x- 3x ) = 0
 
4x = 2n* pi ± pi/2
 
hence
 
x = npi/2 ± pi/8
 
Regards
Arun (askIITians forum expert)

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