The no. of solutn of the eqn |x|=cosx is ?

Plz xplain the answer.

Hi Pooja,

Draw the graph of cosx.

And also draw the graph of |x| ---------{which is a "V" shaped graph}

Clearly the two graphs will intersect in two points, one to the right of the y-axis and the other to the left of the y-axis.

So the equation will have two roots.

Best Regards,

Ashwin (IIT Madras).

There are 2 solutions.

Try to solve it graphically .. Draw |x| and cosx graphs and check the no. of intersection points ,, it will have 2 intersecting points.

The answer is Two. Pls See the attahed image for explanation.The point of intersections are 0.73 and -0.73