[tex]sin^{-1} (sin17^{0} )[/tex] = [tex]17^{0}[/tex]
What Is Sin of Sin Inverse of x?
The inverse sine function (also called arcsine) is the inverse of sine function. Since sine of an angle (sine function) is equal to ratio of opposite side and hypotenuse, thus sine inverse of same ratio will give the measure of the angle.
sin ([tex]sin^{-1}x[/tex]) = x, whenever x ∈ [-1, 1] and
sin ([tex]sin^{-1}x[/tex]) is NOT defined whenever x ∉ [-1, 1].
Given
[tex]sin^{-1} (sin17^{0} )[/tex]
Cancel out [tex]sin^{-1}[/tex] and sin
[tex]sin^{-1} (sin17^{0} )[/tex] = [tex]17^{0}[/tex]
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