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

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

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

simplify

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

sec (x)

Solution steps

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

Join

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

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

Express with sin, cos

= \frac{cos ^{2} ( x ) + ( 1 + sin ( x ) ) sin ( x )}{( 1 + sin ( x ) ) cos ( x )}

Rewrite using trig identities

= sec (x)

2 (x + 5)

\frac{3}{2} \times 2

16 x^{6}

(5 x + 1)^{2}

\frac{6}{100}

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