CotQ - tanQ = 2 cos squareQ -1divide by sinQcosQ
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Cot a -tan a= (sin a /cos a)-(cos a -sin a)
=(cos^2 a-sin ^2 a)/sin a cos a
= (cos^2 a-(1-cos^2 a )/sin a cos a
=(cos^2 a-1+cos^2 a)/sin a cos a
=(2cos^2 a -1)/sin a cos a
=(cos^2 a-sin ^2 a)/sin a cos a
= (cos^2 a-(1-cos^2 a )/sin a cos a
=(cos^2 a-1+cos^2 a)/sin a cos a
=(2cos^2 a -1)/sin a cos a
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