The intervals for which tanx>cotx, where x∈(0,π)−{π2} is
A
(0,π4)∪(3π4,π)
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B
(0,π4)∪(π2,3π4)
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C
(π4,π2)∪(π2,3π4)
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D
(π4,π2)∪(3π4,π)
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Solution
The correct option is D(π4,π2)∪(3π4,π) We need to evaluate the values of x for which the graph of y=tanx is above the graph of y=cotx We know that, tanx=cotx at x=π4 in Q1 and 3π4 in Q2.