What is (1-sec(x))(1+sec(x)) ?

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

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simplify (1-sec(x))(1+sec(x))

simplify

(1 - sec (x)) (1 + sec (x))

- tan^{2} (x)

Solution steps

(1 - sec (x)) (1 + sec (x))

Expand

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

= 1 - sec^{2} (x)

Rewrite using trig identities

= - tan^{2} (x)

\frac{x ^{2} - 1}{x ^{2} + x}

7 a (3 b - 2 c + 4)

- 42 + (- 17)

\frac{12 ( x + y ) ^{3}}{9 ( x + y )}

12 + 75 - 53

What is (1-sec(x))(1+sec(x)) ?
The solution to (1-sec(x))(1+sec(x)) is -tan^2(x)