1
TG EAPCET 2025 (Online) 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$\cot h^2 x-\tanh ^2 x=$

A

$4 \operatorname{cosech} 2 x \tanh 2 x$

B

$4 \operatorname{sech} 2 x \operatorname{coth} 2 x$

C

$4 \operatorname{sech} 2 x \tanh 2 x$

D

$4 \cosh 2 x(\operatorname{cosech} 2 x)^2$

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

If $3 \sin \theta+4 \cos \theta=3$ and $\theta \neq(2 n+1) \frac{\pi}{2}$, then $\sin 2 \theta=$

A

$\frac{336}{625}$

B

$-\frac{7}{25}$

C

$\frac{24}{25}$

D

$-\frac{336}{625}$

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

$$ \frac{\cos 15^{\circ} \cos ^2 22 \frac{1^{\circ}}{2}-\sin 75^{\circ} \sin ^2 \cdot 52 \frac{1^{\circ}}{2}}{\cos ^2 15^{\circ}-\cos ^2 75^{\circ}} $$

A

1

B

$\frac{1}{2}$

C

$\frac{1}{4}$

D

$\frac{1}{8}$

4
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$16 \sin 12^{\circ} \cos 18^{\circ} \sin 48^{\circ}=$

A

$\sqrt{10-2 \sqrt{5}}$

B

$\sqrt{10+2 \sqrt{5}}$

C

$\sqrt{5}-1$

D

$\sqrt{5}+1$

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