Question

If tan=cot(60°+theta)find the value of theta

Answer 1

tan thetha = cot (60°+thetha)
cot(90°-thetha) =
$\cot(60 + thetha)$
equating ....

90-thetha =60+thetha
90-60=2thetha
30=2thetha
15=thetha

Answer 2

tan ø = cot ( 60° + ø )

tan ø = tan [ 90° - ( 60° + ø )

Because cot ø = tan ( 90° - ø )

tan ø = tan ( 90° - 60° - ø )

So, ø = 30° - ø

2ø = 30°

ø = 30°/2

ø = 15°

Here i have used ø(fi) in place of theta