1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The value of $\frac{1}{2 \sin 10^{\circ}}-2 \sin 70^{\circ}$ is
A
0
B
2
C
$-\frac{3}{2}$
D
1
2
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\tan x^{\circ} \tan 2^{\circ} \tan 3^{\circ} \ldots \ldots \ldots \ldots . . \tan 88^{\circ} \tan y^{\circ}=1$ then $\cot (x+y)=$
A
0
B
1
C
$\frac{1}{2}$
D
Undefined
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } \frac{\cos x}{\cos (x-2 y)}=\lambda \text { then } \tan (x-y) \tan y= $$

A
$$\frac{1+\lambda}{1-\lambda}$$
B
$$\frac{1-\lambda}{1+\lambda}$$
C
$$\frac{\lambda}{1-\lambda}$$
D
$$\frac{\lambda}{1+\lambda}$$
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \sqrt{2+\sqrt{2+\sqrt{2+2 \cos 8 \theta}}} \text { where } \theta \in\left[-\frac{\pi}{8}, \frac{\pi}{8}\right] \text { is equal to } $$

A
$$\sin 2 \theta$$
B
$$2 \cos \theta$$
C
$$\cos 2 \theta$$
D
$$2 \sin \theta$$
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