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Question

If sinα is a root of the equation 25x2+5x12=0 and x belongs to the range of the function f(x)=|cosx|, then the value of 25|sin2α| is 


Solution

25x2+5x12=0
x=5±122550
x=5±3550=35 or 45
Range of f is [1,0]
sinα=45
|sin2α|=2|sinα||cosα|=2(45)(35)
|sin2α|=2425

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