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1
AP EAPCET 2025 - 26th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $A+B+C+D=2 \pi$, then $\sin A+\sin B+\sin C+\sin D=$

A

$4 \sin \left(\frac{A+B}{4}\right) \sin \left(\frac{A+C}{4}\right) \sin \left(\frac{A+D}{4}\right)$

B

$4 \sin \left(\frac{A+B}{2}\right) \cos \left(\frac{A+C}{4}\right) \cos \left(\frac{A+D}{4}\right)$

C

$4 \sin \left(\frac{A+B}{2}\right) \sin \left(\frac{A+C}{2}\right) \sin \left(\frac{A+D}{2}\right)$

D

$4 \sin \left(\frac{A+B}{2}\right) \sin \left(\frac{A+C}{4}\right) \sin \left(\frac{A+D}{4}\right)$

2
AP EAPCET 2025 - 27th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\cos x+\sin x=\frac{1}{2}$ and $0

A

$\frac{1+\sqrt{7}}{4}$

B

$\frac{1-\sqrt{7}}{4}$

C

$\frac{4-\sqrt{7}}{3}$

D

$-\frac{(4+\sqrt{7})}{3}$

3
AP EAPCET 2025 - 27th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\sin \theta+2 \cos \theta=1$ and $\theta$ belongs to 4 th quadrant (not lying on the coordinate axes), then $7 \cos \theta+6 \sin \theta=$

A

$\frac{4}{17}$

B

2

C

$\frac{7}{17}$

D

$\frac{4}{5}$

4
AP EAPCET 2025 - 27th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $A$ and $B$ are acute angles satisfying $3 \cos ^2 A+2 \cos ^2 B=4$ and $\frac{3 \sin A}{\sin B}=\frac{2 \cos B}{\cos A}$, then $A+2 B=$

A

$\frac{\pi}{2}$

B

$\frac{\pi}{3}$

C

$\frac{\pi}{4}$

D

$\frac{\pi}{6}$

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