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1
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $\sin x+\sin ^2 x=1$ then $\cos ^8 x+2 \cos ^6 x+\cos ^4 x$ is equal to :
A
0
B
1
C
$-1$
D
2
2
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
If for real values of $x, \cos \theta=x+\frac{1}{x}$, then $X$
A
$\theta$ is an obtuse angle.
B
No value of $\theta$ is possible
C
$\theta$ is right angle
D
$\theta$ is an acute angle
3
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
$$x=\frac{n \pi}{4}+\frac{(-1)^n}{4} \cos ^{-1}\left(\frac{1}{5}\right)$$
4
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
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