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

The solution to expand (ln|tan(x)+sec(x)|-sin(x))(sin(x)) is sin(x)ln|tan(x)+sec(x)|-sin^2(x)

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

expand

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

sin (x) ln ∣ tan (x) + sec (x) ∣ - sin^{2} (x)

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

(sin (x)) ln ∣ tan (x) + sec (x) ∣ - (sin (x)) sin (x) : sin (x) ln ∣ tan (x) + sec (x) ∣ - sin^{2} (x)

= sin (x) ln ∣ tan (x) + sec (x) ∣ - sin^{2} (x)

(1 + \frac{1}{1 + t ^{2}}) (1 + t^{2})^{2}

\frac{ln ( \frac{( 1 + x + h )}{1 + x} )}{h}

\frac{1459}{( 1 + x ) ^{10}}

(x^{2} + 1 - x^{2} + 3 x + 4)^{3}

\frac{d}{d y} ((z) (3 x^{2} y^{2} + 2 z^{2} x y - 2 z x^{3} + 4 z y^{3} - 4))

What is expand (ln|tan(x)+sec(x)|-sin(x))(sin(x)) ?
The solution to expand (ln|tan(x)+sec(x)|-sin(x))(sin(x)) is sin(x)ln|tan(x)+sec(x)|-sin^2(x)