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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