You can use the inverse of sin when you want to solve an equation where x is the angle you're trying to find.
Say sin(x)=32/50
Since you can't plug "x" into your calculator, use the arc sin (represented on your calculator by sin -1) on both sides to get rid of the sin. This is how it would plug into your calculator:
sin-1 (32/50)
Whatever the answer is would be what "x" equals.
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1.570796327
arcsin(.75)≈0.848062079
Sin or Sine is the ratio of the Opposite side Over The Hypoteneuse of any right angled triangle inverse sin or inverse sine ( they mean the same thing ) uses the same ratio to find an unknown angle and can be written as sin-1 so if you know two sides ( opposite and Hypoteneuse ) then you can work out the sin...then you can either use a calculator to determine the inverse ( or angle ) or you could look up the sin in a booklet of sin values and determine the angle Example : in the triangle ABC the line ab=4 ac = 5 and the angle abc =90 we could find the sin of the angle acb sinacb= opp/hyp = 4/5 = 0.8 to find sin-1 of 0.8 calcultor press 0.8 press inv button or on newer calculators the 2nd functon button then press the button marked sin the display should then display 53.1301....or 53 to 2 sig figures
Using the Sine function Sin(x) = 0.5 Then x = Sin^(-1)0.5 x = 30 degrees. Sin^(-1) in the inverse function on you calculator. . It works for Sin , Cosine and Tangent of any angle.
If this is a homework assignment, please consider trying it yourself first, otherwise the value of the reinforcement to the lesson offered by the homework will be lost on you.If the sin of an angle is 0.92595, the angle is the inverse sin of 0.92595, which is 67.812 degrees, or 1.1835 radians.