Question

How do you solve `2 sin x -1 = 0`?

Answer 1

There can be one Graphical approach to this question, see below :-

Explanation:

Since,

`2sinx-1=0`

`rArr sinx=1/2`

Now plot the graphs of `y_1=sinx` and `y_2=1/2` on same graph paper ; the point of intersections of both the graphs (`ie.` `y_1=y_2`) will be the solutions to the equation `2sinx-1=0`.

See the pic given below , the intersection points shown below are some of the infinite possible solutions to the given equation `2sinx-1=0` .