1
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ 4 \cos \frac{\pi}{7} \cos \frac{\pi}{5} \cos \frac{2 \pi}{7} \cos \frac{2 \pi}{5} \cos \frac{4 \pi}{7}= $$

A
$-\frac{1}{8}$
B
$\frac{1}{32}$
C
$-\frac{1}{32}$
D
$\frac{1}{8}$
2
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\tanh x=\operatorname{sech} y=\frac{3}{5}$ and $e^{x+y}$ is an integer, then $e^{x+ y}$ =
A
2
B
8
C
1
D
6
3
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $A, B, C$ are the angles of triangle, then $\sin 2 A-\sin 2 B+\sin 2 C=$
A
$4 \cos A \cos B \sin C$
B
$4 \cos A \sin B \cos C$
C
$4 \cos A \sin B \cos C-1$
D
$4 \sin A \cos B \sin C$
4
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Assertion (A) : If $A=10^{\circ}, B=16^{\circ}$ and $C=19^{\circ}$, then $\tan 2 A \tan 2 B+\tan 2 B \tan 2 C+\tan 2 C \tan 2 A=1$

Reason (R) : If $A+B+C=180^{\circ}, \cot \frac{A}{2}+\cot \frac{B}{2}+\cot \frac{C}{2}$

$$ =\cot \frac{A}{2} \cot \frac{B}{2} \cot \frac{C}{2} $$

Which of the following is correct ?

A
Both $(A)$ and $(R)$ are true and $(R)$ is the correct explanation of (A)
B
Both $(A)$ and $(R)$ are true and $(R)$ is not correct explanationot (A)
C
(A) is true, ( $R$ ) is false
D
(A) is false, (R) is true.
AP EAPCET Subjects
EXAM MAP