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The number of solutions of 2cosx=|sinx|,...

The number of solutions of `2cosx=|sinx|,0lt=xlt=4pi,` is (a) 0 (b) 2 (c) 4 (d) infinite

Text Solution

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To find the number of solutions to the equation `2cosx=|sinx|,0lexle4pi`, we need to find how many times the graphs of `y=2cosxandy=|sinx|` intersect in `[0,4pi]`.
The graphs of `y=2cosxandy=|sinx|` are plotted as ss

We find that the graphs intersect at four points. Hence the equation has four solutions.
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