Sin^ -1 (1)
π/2
The notation sin^-1(1) represents the inverse sine or arcsine function evaluated at the value 1.
The sine function has a range of [-1, 1] and it is a periodic function, which means that there are an infinite number of angles that produce the same sine value of 1. Therefore, the inverse sine function can have multiple solutions for a given input.
However, the only angle that produces a sine value of 1 in the first quadrant of the unit circle is π/2 radians or 90 degrees. Therefore, the answer to sin^-1(1) is π/2 or 90 degrees.
It is important to note that the inverse sine function has a restricted domain of [-1, 1] and its range is [-π/2, π/2]. This means that it can only produce angles between -π/2 and π/2, which correspond to values of sine between -1 and 1.
More Answers:
How To Find The Angle Whose Sine Is 1/2: A Step-By-Step Guide.Finding The Angle Of Sin^-1(√2/2): A Guide To Using The Inverse Sine Function
And Applying The Inverse Sine Function To Find Angles