What is expand sin(x)(1-sec(x))(1+x^2) ?

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

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expand sin(x)(1-sec(x))(1+x^2)

expand

sin (x) (1 - sec (x)) (1 + x^{2})

x^{2} sin (x) - x^{2} tan (x) + sin (x) - tan (x)

Solution steps

sin (x) (1 - sec (x)) (1 + x^{2})

Expand

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

= sin (x) (1 + x^{2} - sec (x) - x^{2} sec (x))

Distribute parentheses

= sin (x) \cdot 1 + sin (x) x^{2} + sin (x) (- sec (x)) + sin (x) (- x^{2} sec (x))

Simplify

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

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

(30 i - 78 j) (\frac{3}{5} i + \frac{4}{5} j)

\frac{( ( 0.1 + x ) ( x ) ( 0.1 + 3 x ) )}{( ( 0.1 - x ) )}

- x \cdot (8 x^{2} + 1)

(x^{2} + 2 x) sin (x)

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

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