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Solve the following trigonometric equati...

Solve the following trigonometric equations,
(i)`cot^(2)x+(3)/("sin"x)+3=0`
(ii)`"tan"^(2)x-(1+sqrt(3))"tan"x - sqrt(3)=0`
(iii)`3"tan"^(2)x+2sqrt(3)"tan"x-3=0`
(iv)`"tan"((pi)/(4)+theta)+"tan"((pi)/(4)-theta)=4`

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