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Question

If tanx=1tan2x, then x=,x(0,π)

A
300
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B
1800
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C
600
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D
none
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Solution

The correct option is B 300
tanx=1tan2x
tan2x=1tanx
tan2x=cotx
tan2x=tan(π2x)
2x=π2x
3x=π2
x=π6,5π6
xϵ(0,π)

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