the principle solution of equation cot x
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cotx=-root3
cotx= -cotx
we know cotx is negative in 2nd and 4th quadrant so, we convert this 2nd or 4th
now
cotx=-cotx=cot (pi-5pi/6)
x=5pi/6
also
cotx=cot (2pi-11pi/6)
x=11pi/6
but option only 5pi/6
so 5pi/6 is answer
cotx=-root3
cotx= -cotx
we know cotx is negative in 2nd and 4th quadrant so, we convert this 2nd or 4th
now
cotx=-cotx=cot (pi-5pi/6)
x=5pi/6
also
cotx=cot (2pi-11pi/6)
x=11pi/6
but option only 5pi/6
so 5pi/6 is answer
abhi178:
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