What is (sec(θ)-1)(sec(θ)+1) ?

The solution to (sec(θ)-1)(sec(θ)+1) is tan^2(θ)

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simplify (sec(θ)-1)(sec(θ)+1)

simplify

(sec (θ) - 1) (sec (θ) + 1)

tan^{2} (θ)

Solution steps

(sec (θ) - 1) (sec (θ) + 1)

Expand

(- 1 + sec (θ)) (1 + sec (θ)) : sec^{2} (θ) - 1

= - 1 + sec^{2} (θ)

Rewrite using trig identities

= tan^{2} (θ)

\frac{4 6}{30}

arctan (\frac{x}{2})

ln ((2 x e^{b})^{2}) + e^{(b + l n (3 x))}

\frac{1 - cos ( x )}{sin ( x )}

\frac{1}{tan ^{2} ( x )}