What is expand (sec^2(x)-tan(x)(tan(x)-1))/(sec(x)) ?

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

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expand (sec^2(x)-tan(x)(tan(x)-1))/(sec(x))

expand

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

cos (x) + sin (x)

Solution steps

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

Expand

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

= \frac{sec ^{2} ( x ) - tan ^{2} ( x ) + tan ( x )}{sec ( x )}

Rewrite using trig identities

= \frac{1 + tan ( x )}{sec ( x )}

Express with sin, cos

= cos (x) + sin (x)

cos (x) sin (x) (sec (x) + cot (x))

\frac{x + 5}{( x - 1 ) ( x + 2 )}

lo g_{10} (x) (x + 1)^{4}

(x + y e^{\frac{y}{x}}) d x - x e^{\frac{y}{x}} d y

(tan (θ) + 1)^{2}

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