General solution of eq^n , 2tan , - , cot = , -1 is - Vidyadip

MCQ

General solution of $eq^n\, 2tan\theta \, -\, cot\theta =\, -1$ is

A
$n\pi $
✓
$n\pi \,-\, \pi /4$
C
$n\pi \,+\, \pi /4$
D
None of these

✓

Answer

Correct option: B.

$n\pi \,-\, \pi /4$

b
$2 \tan \theta-\frac{1}{\tan \theta} =-1 $

$2 \tan ^{2} \theta+\tan \theta-1 =0$

$(2 \tan \theta-1)(\tan \theta+1) =0$

$\tan \theta =-1 $

$\theta= n \pi-\pi / 4$

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