1
MHT CET 2023 14th May Morning Shift
+2
-0

The principal solutions of the equation $$\sec x+\tan x=2 \cos x$$ are

A
$$\frac{\pi}{6}, \frac{5 \pi}{6}$$
B
$$\frac{\pi}{6}, \frac{\pi}{20}$$
C
$$\frac{\pi}{6}, \frac{2 \pi}{3}$$
D
$$\frac{\pi}{6}, \frac{\pi}{12}$$
2
MHT CET 2023 13th May Evening Shift
+2
-0

The solution of $$\sin x+\sin 5 x=\sin 3 x$$ in $$(0, \pi / 2)$$ are

A
$$\frac{\pi}{4}, \frac{\pi}{10}$$
B
$$\frac{\pi}{6}, \frac{\pi}{3}$$
C
$$\frac{\pi}{4}, \frac{\pi}{12}$$
D
$$\frac{\pi}{8}, \frac{\pi}{16}$$
3
MHT CET 2023 13th May Evening Shift
+2
-0

If $$(1+\sqrt{1+x}) \tan x=1+\sqrt{1-x}$$, then $$\sin 4 x$$ is

A
$$x$$
B
$$-x$$
C
$$4 x$$
D
$$-4 x$$
4
MHT CET 2023 13th May Morning Shift
+2
-0

The general solution of the equation $$3 \sec ^2 \theta=2 \operatorname{cosec} \theta$$ is

A
$$\mathrm{n} \pi+\frac{\pi}{4}, \mathrm{n} \in \mathrm{Z}$$
B
$$2 \mathrm{n} \pi+(-1)^{\mathrm{n}} \frac{\pi}{12}, \mathrm{n} \in \mathrm{Z}$$
C
$$\mathrm{n} \pi+(-1)^{\mathrm{n}} \frac{\pi}{6}, \mathrm{n} \in \mathrm{Z}$$
D
$$\mathrm{n} \pi+(-1)^{\mathrm{n}} \frac{\pi}{3}, \mathrm{n} \in \mathrm{Z}$$
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