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# tan theta + cot theta= 2

Grade:11

## 3 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
Hello Student,
$\\ \\tan\theta+{ 1 \over tan\theta}=2 \\=>tan\theta=1 \\=>\theta=45^0 \\$
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
Sahil suyal
11 Points
3 years ago
Let us denote theta as β
So,
Tanβ+cotβ=2,we need to prove it
As we know
Cotβ=1/tanβ
So,
Tanβ+1/tanβ=2
This would imply that
Tanβ=1
Now,
Tanβ=Tan45
Implying
β=45
This is what is you get as your answer

By Sahil suyal
Student
ankit singh
askIITians Faculty 614 Points
one year ago
tan2theta+1-2tantheta=0
there for by shridharacharya formula gensolution is npi+-pi/2
in first quadrant theta=45

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