![]() ![]() We may consider as range of y = csc -1(x). More clearly, the range of y = cos -1(x) isĪs explained above, csc x is positive in the first quadrant (only first quadrant to be considered) and negative in the fourth quadrant of the common interval. These two quadrant are covered in by the interval More clearly, the range of y = sin -1(x) is ,Īs explained above, cos x is positive in the first quadrant (only first quadrant to be considered) and negative in the second quadrant of the common interval. These two quadrant are covered by the interval ![]() Range of sin⁻¹(x)Īs explained above, sin x is positive in the first quadrant (only first quadrant to be considered) and negative in the fourth quadrant of the common interval. ![]() (Not any other quadrant)īased on this, we have to decide the starting point. In one the two quadrants, the trigonometric function should be positive and in the other quadrant, it should be negative.įor all inverse trigonometric functions, we have to consider only the first quadrant for positive. They are, quadrant IV, quadrant I and quadrant II.įor any inverse trigonometric function, we have to choose only two quadrants in the interval. In the common range interval , three quadrants are covered. If we start from 0, the range has to be restricted in the interval If we start from - π/2, the range has to be restricted in the interval When we try to get range of inverse trigonometric functions, either we can start from - π/2 or 0 (Not both). ![]()
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