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Grade 11Trigonometry

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

Profile image of Isha Keshav
7 Years agoGrade 11
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1 Answer

Profile image of Arun
7 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)