What is expand (tan(x)-sec(x))^2 ?

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

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expand (tan(x)-sec(x))^2

expand

(tan (x) - sec (x))^{2}

tan^{2} (x) - 2 sec (x) tan (x) + sec^{2} (x)

Solution steps

(tan (x) - sec (x))^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(tan (x) - sec (x))^{2} = tan^{2} (x) - 2 tan (x) sec (x) + sec^{2} (x)

= tan^{2} (x) - 2 tan (x) sec (x) + sec^{2} (x)

= tan^{2} (x) - 2 sec (x) tan (x) + sec^{2} (x)

\frac{1}{s ( s ^{2} + 9 )}

(3 + 2 x i)^{2}

\frac{2 x ^{3} - 6 x ^{2}}{( x - 2 ) ^{2}}

(- e^{- t} sin (t) + e^{- t} cos (t))^{2}

cot (x) (cos (x) - sec (x))

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