What is expand cos(x)(-1+tan^2(x))-sin(x)tan(x) ?

The solution to expand cos(x)(-1+tan^2(x))-sin(x)tan(x) is -cos(x)+tan^2(x)cos(x)-sin(x)tan(x)

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expand cos(x)(-1+tan^2(x))-sin(x)tan(x)

expand

cos (x) (- 1 + tan^{2} (x)) - sin (x) tan (x)

- cos (x) + tan^{2} (x) cos (x) - sin (x) tan (x)

Solution steps

cos (x) (- 1 + tan^{2} (x)) - sin (x) tan (x)

Apply the distributive law:

a (b + c) = ab + a c

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

= cos (x) (- 1) + cos (x) tan^{2} (x) - sin (x) tan (x)

Simplify

cos (x) (- 1) + cos (x) tan^{2} (x) : - cos (x) + tan^{2} (x) cos (x)

= - cos (x) + tan^{2} (x) cos (x) - sin (x) tan (x)

(x + 10 y = 50,) (x + 5 y = 44)

\frac{3 ^{x + 2}}{3 ^{x + 1}}

(x + \frac{3}{5}) (x - \frac{3}{5})

(1 - 2 - x) \cdot (1 + 2 - x)

What is expand cos(x)(-1+tan^2(x))-sin(x)tan(x) ?
The solution to expand cos(x)(-1+tan^2(x))-sin(x)tan(x) is -cos(x)+tan^2(x)cos(x)-sin(x)tan(x)