What is expand (csc(x)(sec(x)-1)-tan(x))/(sec(x)-1) ?

The solution to expand (csc(x)(sec(x)-1)-tan(x))/(sec(x)-1) is (2csc(2x)-csc(x)-tan(x))/(sec(x)-1)

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expand (csc(x)(sec(x)-1)-tan(x))/(sec(x)-1)

expand

\frac{csc ( x ) ( sec ( x ) - 1 ) - tan ( x )}{sec ( x ) - 1}

\frac{2 csc ( 2 x ) - csc ( x ) - tan ( x )}{sec ( x ) - 1}

Solution steps

\frac{csc ( x ) ( sec ( x ) - 1 ) - tan ( x )}{sec ( x ) - 1}

Expand

csc (x) (sec (x) - 1) - tan (x) : csc (x) sec (x) - csc (x) - tan (x)

= \frac{csc ( x ) sec ( x ) - csc ( x ) - tan ( x )}{sec ( x ) - 1}

csc (x) sec (x) = 2 csc (2 x)

= \frac{2 csc ( 2 x ) - csc ( x ) - tan ( x )}{sec ( x ) - 1}

4 (3 + cos (2 x))^{2}

\frac{1}{4} (sin^{4} (x) + cos^{4} (x))

\frac{2 ( 9 x - 2 )}{4 - 3 x}

e^{5 t} (2 t^{2} - 3 t + 5 t^{5})

\frac{d}{d v} ((p) (p + \frac{8.1}{v ^{2}}) (v - 1.1))

What is expand (csc(x)(sec(x)-1)-tan(x))/(sec(x)-1) ?
The solution to expand (csc(x)(sec(x)-1)-tan(x))/(sec(x)-1) is (2csc(2x)-csc(x)-tan(x))/(sec(x)-1)