What is expand (-ln|tan(x)+sec(x)|+sin(x))cos(x) ?

The solution to expand (-ln|tan(x)+sec(x)|+sin(x))cos(x) is -cos(x)ln|tan(x)+sec(x)|+cos(x)sin(x)

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expand (-ln|tan(x)+sec(x)|+sin(x))cos(x)

expand

(- ln ∣ tan (x) + sec (x) ∣ + sin (x)) cos (x)

- cos (x) ln ∣ tan (x) + sec (x) ∣ + cos (x) sin (x)

Solution steps

(- ln ∣ tan (x) + sec (x) ∣ + sin (x)) cos (x)

= cos (x) (- ln ∣ tan (x) + sec (x) ∣ + sin (x))

Apply the distributive law:

a (b + c) = ab + a c

a = cos (x), b = - ln ∣ tan (x) + sec (x) ∣, c = sin (x)

= cos (x) (- ln ∣ tan (x) + sec (x) ∣) + cos (x) sin (x)

Apply minus-plus rules

+ (- a) = - a

= - cos (x) ln ∣ tan (x) + sec (x) ∣ + cos (x) sin (x)

\frac{1}{( s + 1 ) ^{2} ( s + 3 )}

\frac{\partial}{\partial y} (5 e^{y}) + e^{y} (3 x + 5 y)

- \frac{2 ( 1 - i ) ^{7}}{( 1 + i ) ^{7}}

(x - 3) (x - 2 - \frac{4}{x - 3})

\frac{W L ( 2 X - L ) ^{2}}{8}

What is expand (-ln|tan(x)+sec(x)|+sin(x))cos(x) ?
The solution to expand (-ln|tan(x)+sec(x)|+sin(x))cos(x) is -cos(x)ln|tan(x)+sec(x)|+cos(x)sin(x)