Question

# Principal solutions are ______

A

The solutions of a trigonometric equation which lie in the interval [0, π]

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B

The solutions of a trigonometric equation which lie in the interval [0, 2π]

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C

The solutions of a trigonometric equation which lie in the interval [0, 2π)

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D

The solutions of a trigonometric equation which lie in the interval [0, π)

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Solution

## The correct option is C The solutions of a trigonometric equation which lie in the interval [0, 2π) The solutions of a trigonometric equation for which 0 ≤ x < 2π are called principal solution. For eg: sin x = 12, In the interval [0, 2π) There exists two values of x for which sin x = 12 i.e π6 and 5π6 which lie in [ 0,2 π) & Sinπ6=12 Sin5π6=12 Principal solutions of the equation sinx=12 are π6 & 5π6

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