1
IIT-JEE 1987
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+2
-0
The set of all $$x$$ in the interval $$\left[ {0,\,\pi } \right]$$ for which $$2\,{\sin ^2}x - 3$$ $$\sin x + 1 \ge 0,$$ is _____.
2
IIT-JEE 1981
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+2
-0
Suppose $${\sin ^3}\,x\sin 3x = \sum\limits_{m = 0}^n {{C_m}\cos \,mx} $$ is an identity in x, where C0, C1 ,....Cn are constants, and $${C_n} \ne 0$$ , then the value of n is _____.
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