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

If $\cos \theta+\sin \theta=\sqrt{2} \cos \theta$ and $0<\theta<\frac{\pi}{2}$, then $\sec 2 \theta+\tan 2 \theta=$

A

$\cot \theta$

B

$\tan \theta$

C

$\cos \theta$

D

$\sin \theta$

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

If $x=\log _e 3$, then $\tanh 2 x+\operatorname{sech} 2 x=$

A

$\frac{4}{3}$

B

$\frac{49}{41}$

C

$\frac{4}{5}$

D

$\frac{41}{49}$

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

If $\sin A=-\frac{24}{25}, \cos B=\frac{15}{17}, A$ does not belong to 4th quadrant and $B$ does not belong to 1st quadrant, then $(A+B)$ lies in the quadrant

A

1st quadrant

B

2 nd quadrant

C

3rd quadrant

D

4th quadrant

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

$$ 4 \cos \frac{7 \theta}{2} \cos \frac{3 \theta}{2} \sin 5 \theta= $$

A

$\sin 10 \theta+\sin 7 \theta-\sin 3 \theta$

B

$\sin 10 \theta+\sin 7 \theta-\sin 5 \theta$

C

$\sin 10 \theta+\sin 7 \theta+\sin 3 \theta$

D

$\sin 10 \theta+\sin 7 \theta+\sin 5 \theta$

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