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