SOLUTION: Write the equation sin y=x in the form of an inverse function. Thank you

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: Write the equation sin y=x in the form of an inverse function. Thank you      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 42390: Write the equation sin y=x in the form of an inverse function. Thank youFound 2 solutions by fractalier, AnlytcPhil:Answer by fractalier(2101)   (Show Source): You can put this solution on YOUR website!If you take the inverse sin of both sides you get sin y = x sin^(-1) sin y = sin^(-1) x y = sin^(-1) x Answer by AnlytcPhil(1276)   (Show Source): You can put this solution on YOUR website!```Write the equation sin(y) = x in the form of an inverse function. Thank you The equation in words would be "The sine of y is x" That sentence can be written this way: "y is what we must take the sine of to get x" The mathematical symbol for the words "what we must take the sine of to get" is sin-1 That is not really a "negative one exponent", it's only written that way because a negative one exponent is what inverts a fraction, and that reminds us that we are writing another kind of inverse somewhat analogous to that, but far from meaning that. So from the beginning: sin(y) = x translates as "The sine of y is x" which translates as "y is what we have to take the sine of to get x" which translates as y = sin-1(x) Edwin AnlytcPhil@aol.com```