What is (cos(x))/(1+sin(x))+(1+sin(x))/(cos(x)) ?

The solution to (cos(x))/(1+sin(x))+(1+sin(x))/(cos(x)) is 2sec(x)

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simplify (cos(x))/(1+sin(x))+(1+sin(x))/(cos(x))

simplify

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

2 sec (x)

Solution steps

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

Join

\frac{cos ( x )}{1 + sin ( x )} + \frac{1 + sin ( x )}{cos ( x )} : 2 sec (x)

= 2 sec (x)

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

x + 2 x

(x + 1) (x + 2) (x + 3)

(2 x - 3) (2 x + 3)

\frac{15}{8}

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