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Cos(theta)[sec(theta)-cos(theta)]=sin^2(theta)
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\[a(b - c) = ab - ac \] \[\cos \theta \times \sec \theta = 1 \]
this ones easy
just put sec theta = to 1/cos theta then simply multiply
I don't understand your way lol
it will become 1 - cos^2 theta which is equal to sin^2 theta
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