1
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $A+B+C=4 S$, then $\sin (2 S-A)$

$$ +\sin (2 S-B)+\sin (2 S-C)-\sin 2 S= $$

A

$4 \cos \frac{A}{2} \cos \frac{B}{2} \cos \frac{C}{2}$

B

$4 \sin \frac{A}{2} \cos \frac{B}{2} \cos \frac{C}{2}$

C

$4 \cos \frac{A}{2} \sin \frac{B}{2} \cos \frac{C}{2}$

D

$4 \sin \frac{A}{2} \sin \frac{B}{2} \sin \frac{C}{2}$

2
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The general solution of the equation $\sqrt{6-5 \cos x+7 \sin ^2 x}-\cos x=0$ also satisfies the equation

A

$\tan x+\cot x=2$

B

$\cot x+\operatorname{cosec} x=1$

C

$\tan x+\sec x=1$

D

$\sec x+\operatorname{cosec} x=2$

3
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \tan ^{-1} \frac{3}{5}+\tan ^{-1} \frac{6}{41}+\tan ^{-1} \frac{9}{191}= $$

A

$\tan ^{-1} \frac{9}{10}$

B

$\tan ^{-1} \frac{18}{19}$

C

$\tan ^{-1} \frac{3}{191}$

D

$\tan ^{-1} \frac{6}{205}$

4
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $2 \tanh ^{-1} x=\sinh ^{-1}\left(\frac{4}{3}\right)$, then $\cosh ^{-1}\left(\frac{1}{x}\right)=$

A

$\log (\sqrt{2}+1)$

B

$\log (\sqrt{2}-1)$

C

$\log (2+\sqrt{3})$

D

$\log (2-\sqrt{3})$

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