More simply, sin(x) is approximately equal to x for x small and in radians. I don't understand why you would want "y(degrees)". I also do not understand what this has to do with the question.LawrenceC said:sin(y) -> x for small y(degrees) and if x is expressed in radians. For example,
sin(.5)=.008716535. and .5/(360/2pi)=.008726646
sin(.1)=.001745328 and .1/(360/2pi)=.001745329
etc,etc
HallsofIvy said:... I also do not understand what this has to do with the question.
"Solving sin(x)=x" means finding the value or values of x that make the equation true. In other words, it is finding the solution or solutions to the equation.
There are a few different methods for solving this type of equation, but one common approach is to use a graphing calculator to graph both y=sin(x) and y=x, and then find the points where the two graphs intersect. These points represent the solutions to the equation.
The "9th Grade Qwiggle" in the title refers to the level of math typically covered in 9th grade, and suggests that the question is likely being asked by a 9th grade student. It is also possible that "Qwiggle" is a specific program or curriculum used in the 9th grade math class.
I am not familiar with a specific "Qwiggle method" for solving equations, but as mentioned before, one way to solve this equation is by graphing both y=sin(x) and y=x and finding the points of intersection. Another approach is to use algebraic manipulation to rewrite the equation into a form that can be solved more easily.
One helpful tip is to remember that the solutions to this type of equation will lie on the graph of y=sin(x), which has a repeating pattern with a period of 2π. This can help narrow down the possible solutions and make the problem more manageable. Additionally, it is always a good idea to check your solutions by plugging them back into the original equation to ensure they are correct.