Sin^-1(1/2)
π/6
The function sin^-1(x) represents the inverse sine function, which means it returns the angle whose sine value is x. In this case, we are asked to find the angle whose sine is 1/2.
Firstly, we need to recognize that this is a well-known angle in trigonometry: it is 30 degrees, or pi/6 radians. We can confirm this by drawing a right triangle in the first quadrant with one angle of 30 degrees. The opposite side to this angle will have length 1 (since sin is opposite over hypotenuse), and the hypotenuse will have length 2 (since the sine is 1/2). The adjacent side will have length √3 by the Pythagorean theorem. Thus we have:
sin(30 degrees) = sin(pi/6 radians) = 1/2
More Answers:
The Essential Trigonometric Identity: Sin^2X + Cos^2X = 1Discover The Angle Whose Cosine Is Equal To 1: Exploring Cos^-1(1)
Sin^-1(0) In Radians: Multiple Solutions To The Inverse Sine Function
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded