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Trigonometric Functions — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsTrigonometric Functions2 Marks
MCQ
If $\cos x=|\sin x|$, then the general solution is
  • ✓
    $x=2 n \pi \pm \frac{\pi}{4}, n \in Z$
  • B
    $x=(2 n+1) \pi \pm \frac{\pi}{4}, n \in Z$
  • C
    $x=n \pi \pm \frac{\pi}{4}, n \in Z$
  • D
    $x= n \pi+(-1)^{ n } \frac{\pi}{4}, n \in Z$
✓

Answer

Correct option: A.
$x=2 n \pi \pm \frac{\pi}{4}, n \in Z$
(A) $\cos x=|\sin x|$
$\begin{array}{l}\Rightarrow \pm \cos x=\sin x \\ \Rightarrow \tan x= \pm 1\end{array}$
As $\cos x$ is positive,
$x=2 n \pi \pm \frac{\pi}{4}, n \in Z$

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