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Questions
1
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The general solution of $$2 \cos 4 x+\sin ^2 2 x=0$$ is

A
$$x=\frac{n \pi}{2} \pm \sin ^{-1}\left(\frac{1}{5}\right)$$
B
$$x=\frac{n \pi}{4}+\frac{(-1)^n}{4} \sin ^{-1}\left( \pm \frac{2 \sqrt{2}}{3}\right)$$
C
$$x=\frac{n \pi}{2} \pm \cos ^{-1}\left(\frac{1}{5}\right)$$
D
$$x=\frac{n \pi}{4}+\frac{(-1)^n}{4} \cos ^{-1}\left(\frac{1}{5}\right)$$
2
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

Find the general solution of $$\sin 2x + \cos x = 0$$.

A
$$(n \pm 1){\pi \over 2}$$
B
$$n\pi \pm {\pi \over 2}$$
C
$$n\pi + {( - 1)^n}{{7\pi } \over 6}$$ or $$(2n \pm 1){\pi \over 2}$$
D
None of the above
3
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

If $$\sin 2x = 4\cos x$$, then x is equal to

A
$${{n\pi } \over 2}\, \pm \,{\pi \over 4},n \in Z$$
B
no value
C
$$n\pi + {( - 1)^n}{\pi \over 4},n \in Z$$
D
$$2n\pi \, \pm \,{\pi \over 2},n \in Z$$
4
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

If $$\sin 3\theta = \sin \theta $$, how many solutions exist such that $$ - 2\pi < \theta < 2\pi $$?

A
9
B
8
C
7
D
5
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