1
MHT CET 2021 23rd September Evening Shift
+2
-0

If $$\sin (y+z-x), \sin (z+x-y)$$ and $$\sin (x+y-z)$$ are in AP, then

A
$$\tan y=\tan x+\tan z$$
B
$$\tan y=\tan x-\tan z$$
C
$$2 \tan y=\tan x+\tan z$$
D
$$2 \tan y=\tan x-\tan z$$
2
MHT CET 2021 22th September Evening Shift
+2
-0

If $$2 \cos \theta=x+\frac{1}{x}$$, then $$2 \cos 3 \theta=$$

A
$$x^3-\frac{1}{x^3}$$
B
$$\left(x+\frac{1}{x}\right)^3$$
C
$$x+\frac{1}{x}$$
D
$$x^3+\frac{1}{x^3}$$
3
MHT CET 2021 22th September Morning Shift
+2
-0

$$\tan 3 \mathrm{~A} \cdot \tan 2 \mathrm{~A} \cdot \tan \mathrm{A}=$$

A
$$\tan 3 \mathrm{~A}+\tan 2 \mathrm{~A}-\tan \mathrm{A}$$
B
$$\tan 3 \mathrm{~A}-\tan 2 \mathrm{~A}-\tan \mathrm{A}$$
C
$$\tan 3 \mathrm{~A}+\operatorname{tan} 2 \mathrm{A}+\tan \mathrm{A}$$
D
$$\tan 3 \mathrm{~A}-\tan 2 \mathrm{~A}+\tan \mathrm{A}$$
4
MHT CET 2021 21th September Morning Shift
+2
-0

If $$\frac{\cos (A+B)}{\cos (A-B)}=\frac{\sin (C+D)}{\sin (C-D)}$$, then $$\tan A \tan B \tan C=$$

A
0
B
tan D
C
cot D
D
$$-$$ tan D
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