1
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\sin A+\sin 2 A=x$ and $\cos A+\cos 2 A=y$ then the value of the expression $\left(x^2+y^2\right)\left(x^2+y^2-3\right)$ equals

A

0

B

$3 y$

C

$\frac{y}{2}$

D

$2 y$

2
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The expression } \frac{1-\tan ^2\left(\frac{\pi}{4}-A\right)}{1+\tan ^2\left(\frac{\pi}{4}-A\right)} \text { equals } $$

A

$\sin A$

B

$\sin 2 A$

C

$\cos A$

D

$\cos 2 A$

3
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
The value of $\frac{\sin ^2 20^{\circ}+\cos ^4 20^{\circ}}{\sin ^4 20^{\circ}+\cos ^2 20^{\circ}}$ is :
A
0
B
2
C
1
D
$\frac{1}{2}$
4
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $\tan \alpha=\frac{1}{7}$ and $\sin \beta=\frac{1}{\sqrt{10}}, \quad 0<\alpha, \beta<\frac{\pi}{2}$ then $2 \beta$ is equal to
A
$\frac{\pi}{8}-\alpha$
B
$\frac{\pi}{4}-\alpha$
C
$\frac{3 \pi}{8}-\frac{\alpha}{2}$
D
$\frac{3 \pi}{4}-\alpha$

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