Sin^-1(-1)
The expression sin^-1(-1) is asking for the angle whose sine value is -1
The expression sin^-1(-1) is asking for the angle whose sine value is -1. In other words, we are looking for an angle whose sine is -1.
The range of the sine function is from -1 to 1. So, normally, the sine function only generates values between -1 and 1. However, there is a special case where the sine function can produce -1 as an output.
The angle whose sine is -1 is -π/2 or -90 degrees. In trigonometry, this angle is known as the “reference angle” or the “principal angle”. It corresponds to the angle in the third quadrant of the unit circle.
So, sin^-1(-1) = -π/2 or -90 degrees.
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