1
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

If $${\cos ^3}x\,.\,\sin 2x = \sum\limits_{m = 1}^n {{a_m}\sin mx} $$ is identity in x, then

A
$${a_3} = {3 \over 8},{a_2} = 0$$
B
$$n = 6,{a_1} = {1 \over 2}$$
C
$$n = 5,{a_1} = {3 \over 4}$$
D
$$\sum {{a_m} = {1 \over 4}} $$
2
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

Total number of solutions of $$\left| {\cot x} \right| = \cot x + {1 \over {\sin x}},x \in [0,3\pi ]$$ is equal to

A
1
B
2
C
3
D
0
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