Prove and show your work

cos t (sect - cos t) = sin^2 t

sin 0 cot 0 = cos 0

1) Manipulating the Left side

cost · sect - cos²t (Note: sect = 1/cost, cos²t = 1-sin²t)

cost · (1/cost) - (1 - sin²t)

1 - 1 + sin²t

0 + sin²t

sin²t

2) Manipulating the Left side

sinФ · cotФ (Note: cotФ = cosФ/sinФ)

sinФ · (cosФ/sinФ)

(sinФ · cosФ) / sinФ

cosФ