how to find the value of x in the equation sin(2x)=x

Answer 1

The answers I will provide will be in radians, to convert radians to degrees multiply by 57.2958. The easiest answer to this question is 0 if we take the x value 0, take the sin of (2*0) we get 0 again. however other answers also exist. To find these we will have to use algebra and a little bit of graphing. by moving x to one side of the equation we get sin(2x)/x =1. Then we graph both sides of the equation y= sin(2x)/x and y=1 from here we find the points of intersection of the 2 graphs. The x value of the intersection points which are roughly + and - 0.9447 should be the only other two answers. This point of intersection is tough to find but using a graphing calculator to do it or using a trigonometric table which I believe is used in trigonometry should give you the same result.

Answer 2

To get solution of equation sin(2x) = x we use TI-84.

We put in Y= menu y₁ = sin(2x) and y₂ = x. Then we use CALC meny and Intersect and then we get 3 solutions: x = 0, x ≈ 0.9477 and x ≈ - 0.9477.