General solution of eq^n, 2tanθ , -, cotθ =, -1 is

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Trigonometrical Equations

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

A

$n\pi $

B

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

C

$n\pi \,+\, \pi /4$

D

None of these

Solution

$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 $

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

Standard 11

Mathematics

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