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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(x + y) d x + (x - y) d y

\frac{1}{( x + 1 ) ^{3}}

(3 t + 2 i t)^{2}

\frac{3 x ^{2} + 6 x + 5}{( x + 2 ) ^{2}}

6 (7 + 5)

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