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

The solution to expand cos(x)(tan(x)+2)(2tan(x)+1) is 2tan^2(x)cos(x)+2cos(x)+5sin(x)

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expand cos(x)(tan(x)+2)(2tan(x)+1)

expand

cos (x) (tan (x) + 2) (2 tan (x) + 1)

2 tan^{2} (x) cos (x) + 2 cos (x) + 5 sin (x)

Solution steps

cos (x) (tan (x) + 2) (2 tan (x) + 1)

Expand

cos (x) (tan (x) + 2) (2 tan (x) + 1) : cos (x) (2 tan^{2} (x) + 5 tan (x) + 2)

= cos (x) (2 tan^{2} (x) + 5 tan (x) + 2)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

cos (x) (2 tan^{2} (x) + 5 tan (x) + 2) = cos (x) \cdot 2 tan^{2} (x) + cos (x) \cdot 5 tan (x) + cos (x) \cdot 2

= cos (x) \cdot 2 tan^{2} (x) + cos (x) \cdot 5 tan (x) + cos (x) \cdot 2

Simplify

cos (x) \cdot 2 tan^{2} (x) + cos (x) \cdot 5 tan (x) + cos (x) \cdot 2 : 2 tan^{2} (x) cos (x) + 2 cos (x) + 5 sin (x)

= 2 tan^{2} (x) cos (x) + 2 cos (x) + 5 sin (x)

\frac{3 ( e - 1 )}{e}

(5 y - 2)^{2}

\frac{3}{( 2 x - 1 ) ^{3}}

8 \cdot ln (y) (4 - 2 \cdot x)^{2} - x e^{2} \cdot (4 - 2 \cdot x) + 4 - 2 \cdot x

(a - b - c) (d - e - f)

What is expand cos(x)(tan(x)+2)(2tan(x)+1) ?
The solution to expand cos(x)(tan(x)+2)(2tan(x)+1) is 2tan^2(x)cos(x)+2cos(x)+5sin(x)