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Question

if sinx=1/2 then what is the value of tan x,
x(π2,π)

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Solution

sinx=12,x(π2,π)
x is in second quadrant.
sinx=sin(ππ6) in second quadrant sinθ is positive.
x=ππ6
x=6ππ6=5π6
Now tanx=tan(5π6)=tan(ππ6)=tanπ6=13

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