What is sec(θ)-tan(θ)sin(θ) ?

The solution to sec(θ)-tan(θ)sin(θ) is cos(θ)

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simplify sec(θ)-tan(θ)sin(θ)

simplify

sec (θ) - tan (θ) sin (θ)

cos (θ)

Solution steps

sec (θ) - tan (θ) sin (θ)

Express with sin, cos

= \frac{1 - sin ^{2} ( θ )}{cos ( θ )}

Rewrite using trig identities

= cos (θ)

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