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1
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The solution set of the equation $\cos ^2 2 x+\sin ^2 3 x=1$ i
A
$\left\{x \left\lvert\, x=n \pi+\frac{\pi}{2}\right., n \in Z\right\}$
B
$\left\{x \left\lvert\, x=2 n \pi \pm \frac{\pi}{4}\right., n \in Z\right\}$
C
$\left\{x \left\lvert\, x=\frac{n \pi}{5}\right., n \in Z\right\}$
D
$\left\{x \left\lvert\, x=n \pi+(-1)^n \frac{n \pi}{6}\right., n \in Z\right\}$
2
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the period of the function $f(x)=2 \cos (3 x+4)-3 \tan (2 x-3)+5 \sin (5 x)-7$ is $k$, then
A
$\sin \frac{k}{8}=\frac{1}{2}$
B
$\cos \frac{k}{6}=\frac{1}{\sqrt{2}}$
C
$\tan \frac{k}{3}=-\sqrt{3}$
D
$\sec \frac{k}{2}=2$
3
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The number of solutions of the equation $\sin 7 \theta-\sin 3 \theta=\sin 4 \theta$ that lie in the interval $(0, \pi)$, is
A
6
B
3
C
4
D
5
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