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Prove that cot^2(pi/6)+cosec((5pi)/6)+3t...

Prove that `cot^2(pi/6)+cosec((5pi)/6)+3tan^2(pi/6)=6`

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cot (pi)/(6)=(cos ((pi)/(6)))/(sin ((pi)/(6)))=((sqrt(3))/(2))/((1)/(2))=sqrt(3). .(cosec) (5 pi)/(6)=(cosec)^(circ)(150^(circ))^(circ)=(cosec)(90^(circ)+60^(circ))=sec 60^(0)=2 ldots. .tan (pi)/(6)=(1)/(sqrt(3)) , cot ^(2) (pi)/(6)++(cosec) (5 pi)/(6)+. 3 tan ^(2) (pi)/(6)=(sqrt(3))^(2)+2+3 xx((. 1)/(sqrt(3)))^(2)=3+2+1=6.
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