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

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

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expand sec(x)(1-sin(x))(sec(x)+tan(x))

expand

sec (x) (1 - sin (x)) (sec (x) + tan (x))

1

Solution steps

sec (x) (1 - sin (x)) (sec (x) + tan (x))

Expand

sec (x) (1 - sin (x)) (sec (x) + tan (x)) : sec (x) cos (x)

= sec (x) cos (x)

Express with sin, cos

= 1

cos^{4} (x) (1 - tan^{4} (x)) + 2 sin^{2} (x)

6 (1 + 6)

(1 + \frac{26}{x}) x^{2} - 36

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

(2 - x^{2} - 5) (2 + x^{2} - 5)

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