1.

Find the number of solution to the equation sin x = x^(2) + 2x + 1.

Answer»

Solution :Let F(x) = sin x and `g(x) = x^(2) + 2x + 1 = (x + 1)^(2)`
Graphs of y = sin x and `y = (x + 1)^(2)` are as shown in the following figure.

Since the curvey `y = (x + 1)^(2)` MEETS the y - axis at (0, 1), it never INTERSECTS y = sin x. HENCE no solution.


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