1
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$\sin \left(\frac{\pi}{4} \cos \theta\right)=\cos \left(\frac{\pi}{4} \tan \theta\right)$$, then $$\theta$$ is equal to

A
$$2 n \pi+\frac{\pi}{4}$$
B
$$2 n \pi \pm \frac{\pi}{4}$$
C
$$2 n \pi-\frac{\pi}{4}$$
D
$$n \pi+\frac{\pi}{4}$$
2
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$\theta \in[0,2 \pi]$$ and $$\cos 2 \theta=\cos \theta+\sin \theta$$, then the sum of all values of $$\theta$$ satisfying the equation is

A
$$\frac{21 \pi}{2}$$
B
$$\frac{11 \pi}{4}$$
C
$$\frac{24 \pi}{4}$$
D
$$\frac{31 \pi}{4}$$
3
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The value of $$x$$ satisfying the equation $$3 \operatorname{cosec} x=4 \sin x$$ are

A
$$\frac{\pi}{6}, \frac{\pi}{3}$$
B
$$\pm \frac{\pi}{6}$$
C
$$\pm \frac{\pi}{3}$$
D
$$\frac{\pi}{3}, \frac{\pi}{4}$$
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