Tue November 13, 2012 By:

No. of solutions of the equation Sinx = |x|/10 are

Expert Reply
Sun November 18, 2012
Draw the graph of sin x and |x|.

As sinx is always less than or equal to1, after |x| greater than 10 there will be no solution.

At 5?/2 the value of |X|/10 is less than 1 so graph of sinx will be above |x|/10 so in origin there will be 4 solutions, and in l.h.s to origin there will be 2 solutions, so overall there will be 6 solutions.
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