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

If $A$ and $B$ are the values such that $(A+B)$ and $(A-B)$ are not odd multiples of $\frac{\pi}{2}$ and $2 \tan (A+B)=3 \tan (A-B)$, then $\sin A \cos A=$

A

$\sin B \cos B$

B

$5 \sin B \cos B$

C

$\sin 2 B$

D

$\cos 2 B$

2
AP EAPCET 2025 - 26th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $\cos ^3 80^{\circ}+\cos ^3 40^{\circ}-\cos ^3 20^{\circ}=k$, then $\frac{4 k}{3}=$

A

$\sin \left(\frac{4 \pi}{3}\right)$

B

$\cos \left(\frac{2 \pi}{3}\right)$

C

$\tan \left(\frac{\pi}{3}\right)$

D

$\sec \left(\frac{2 \pi}{3}\right)$

3
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \cos 13^{\circ} \sin 17^{\circ} \sin 21^{\circ} \cos 47^{\circ}= $$

A

$\frac{1}{32}(1+\sqrt{2}-\sqrt{3})$

B

$\frac{1}{16}(1+\sqrt{3}+\sqrt{5})$

C

$\frac{1}{16}(2+\sqrt{3}-\sqrt{5})$

D

$\frac{1}{32}(1+2 \sqrt{3}-\sqrt{5})$

4
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$$ \sin \frac{\pi}{5}+\sin \frac{2 \pi}{5}+\sin \frac{3 \pi}{5}+\sin \frac{4 \pi}{5}= $$
A

1

B

$\sqrt{5}$

C

$\frac{1}{4}(\sqrt{5}+1)(\sqrt{10+2 \sqrt{5}})$

D

$\frac{1}{4}(\sqrt{5}-1)(\sqrt{10+2 \sqrt{5}})$

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