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Trigonometrical equations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSTrigonometrical equations1 Mark
MCQ
General solution of the equation $\cot \theta - \tan \theta = 2$ is
  • A
    $n\pi + \frac{\pi }{4}$
  • ✓
    $\frac{{n\pi }}{2} + \frac{\pi }{8}$
  • C
    $\frac{{n\pi }}{2} \pm \frac{\pi }{8}$
  • D
    None of these
✓

Answer

Correct option: B.
$\frac{{n\pi }}{2} + \frac{\pi }{8}$
b
(b) On simplification, it reduces to $\cos 2\theta = \sin 2\theta $

$ \Rightarrow $ $\tan 2\theta = \tan \frac{\pi }{4}$

$\Rightarrow 2\theta = n\pi + \frac{\pi }{4}$

$\Rightarrow \theta = \frac{{n\pi }}{2} + \frac{\pi }{8}$.

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