1
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \tan ^2 \frac{\pi}{16}+\tan ^2 \frac{2 \pi}{16}+\tan ^2 \frac{3 \pi}{16}+\tan ^2 \frac{4 \pi}{16} $$

$+\tan ^2 \frac{5 \pi}{16}+\tan ^2 \frac{6 \pi}{16}+\tan ^2 \frac{7 \pi}{16}$ is equal to

A
35
B
41
C
37
D
33
2
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \begin{aligned} & \sin ^2 18^{\circ}+\sin ^2 24^{\circ}+\sin ^2 36^{\circ}+\sin ^2 42^{\circ}+\sin ^2 78^{\circ} \\ & +\sin ^2 90^{\circ}+\sin ^2 96^{\circ}+\sin ^2 102^{\circ}+\sin ^2 138^{\circ}+\sin ^2 162^{\circ} \text { is } \\ & \text { equal to } \end{aligned} $$

A
$\frac{11}{2}$
B
$\frac{9}{2}$
C
5
D
4
3
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $A B$ and $C$ are the angles of a triangle, then $\frac{\sin A+\sin B+\sin C}{\sin ^2 \frac{A}{2}-\sin ^2 \frac{B}{2}+\sin ^2 \frac{C}{2}-1}$ is equal to
A
$-2 \tan \frac{B}{2}$
B
$-2 \cot \frac{B}{2}$
C
$2 \tan \frac{B}{2}$
D
$2 \cot \frac{B}{2}$
4
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of $\cot \frac{x}{2}-\cot x=\operatorname{cosec} \frac{x}{2}$ is
A
$\left\{\left.2 n \pi+\frac{\pi}{3} \right\rvert\, n \in z\right\}$
B
$\left\{\left.4 n \pi+\frac{\pi}{3} \right\rvert\, n \in z\right\}$
C
$\left\{\left.2 n \pi+\frac{2 \pi}{3} \right\rvert\, n \in z\right\}$
D
$\left\{\left.4 n \pi \pm \frac{2 \pi}{3} \right\rvert\, n \in z\right\}$
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