Find the number of solutions of sin(x) = 1/2 in the interval [0, 2π].

Type: MCQ • Marks: 1

A. 1

B. 2

C. 3

D. 4

Explanation

In [0, 2π], sin(x) is positive in the 1st and 2nd quadrants. x = π/6 and x = π - π/6 = 5π/6. Thus, there are exactly 2 solutions.

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UP TGT Mathematics

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