If √3tanQ = 3 sinQ, find the value of sin²Q - cos²Q
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Answer:tanA/sinA=3/√3
(sinA/cosA)(1/sinA)=√3
1/cosA=√3
cosA=1/√3
sin^2A-cos^2A
1-cos^2A-cos^2A
1-2cos^2A
1-2(1/√3)^2
1-2(1/3)
1-2/3
1/3
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