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# what are the solution of equation 2sinx + cosx = 3a. only one solution ​b. no solution ​c. infinetiy many solution​d. finitly many solution

Soumendu Majumdar
159 Points
3 years ago
Dear Student,
$-1\leq sin x\leq 1$   and    $-1\leq cos x\leq 1$
so
$2sinx + cos x=3$ is only possible if both sin x & cos x are equal to 1.
But sin x & cos x cannot be equal to 1 at the same time
so option (b) is correct.
Hope it helps!