Question

If tan theta + 1/ tan theta =2 , the find the value of cot square theta + 1/cot square theta

Answer 1

$\bold{Answer :}$

Given that,

tanθ + 1/tanθ = 2

or, 1/cotθ + cotθ = 2

=> cotθ + 1/cotθ = 2

Here,

tanθ = 1/cotθ

1/cotθ = tanθ

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Answer 2

Heya !!


Tan ¢ + 1/Tan¢ = 2




1/Cot ¢ + Cot¢ = 2





Cot¢ + 1/Cot¢ = 2


Squaring both sides ,



( Cot¢ + 1/Cot¢ )² = (2)²





Cot²¢ + 1/Cot²¢ + 2× Cot¢×1/Cot¢ = 4





Cot²¢ + 1/Cot²¢ = 4 - 2


Cot²¢ + 1/Cot²¢ = 2 .




Hope it will help you :-)