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if tan(a- b)=1 and sec(a+b)=2/root 3 . find the smallest positive values of a and b and also their most general values

if tan(a- b)=1 and sec(a+b)=2/root 3 . find the smallest positive values of a and b and also their most general values

Grade:12th pass

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
Hello Student,

a-b=npi+ pi/4
1/cos(a+b)=sec(a+b)=2/root 3
cos(a+b)=root 3/2
a+b=2npi+pi/6
a=2npi+1/2(pi/4+pi/6)
b=2npi+1/2(pi/6-pi/4)
for n=0,
a_{min}=1/2(pi/4+pi/6)
b_{min}=1/2(pi/6-pi/4)
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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