MCQ
The value of $\int \cot 2 x\ d x$ will be
- A$\operatorname{cosec}^2 x+c$
- B$2 \sin 2 x+c$
- ✓$\frac{1}{2} \log |\sin 2 x|+c$
- D$0$
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$\left(1+\cos ^{2} \theta\right) x+\sin ^{2} \theta y+4 \sin 3 \theta z=0$
$\cos ^{2} \theta x+\left(1+\sin ^{2} \theta\right) y+4 \sin 3 \theta z=0$
$\cos ^{2} \theta x+\sin ^{2} \theta y+(1+4 \sin 3 \theta) z=0$
has a non-trivial solution, then the value of $\theta$ is :