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

The solution to expand (-sec(x)-cos(x))cos(x) is -cos^2(x)-1

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expand (-sec(x)-cos(x))cos(x)

expand

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

- cos^{2} (x) - 1

Solution steps

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

= cos (x) (- sec (x) - cos (x))

Apply the distributive law:

a (b - c) = ab - a c

cos (x) (- sec (x) - cos (x)) = cos (x) (- sec (x)) - cos (x) cos (x)

= cos (x) (- sec (x)) - cos (x) cos (x)

Simplify

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

= - cos^{2} (x) - 1

(1 - x + x^{2}) (5 + x)

(2 + i)^{4}

f (2 u + v, v - u)

(e^{t} - 4)^{2}

y (1 - \frac{1}{( x ^{2} + y ^{2} )})

What is expand (-sec(x)-cos(x))cos(x) ?
The solution to expand (-sec(x)-cos(x))cos(x) is -cos^2(x)-1