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

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

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

simplify

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

sec (x) + tan (x)

Solution steps

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

Join

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

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

Rewrite using trig identities

= (1 + sin (x)) sec (x)

Expand

(1 + sin (x)) sec (x) : sec (x) + sec (x) sin (x)

= sec (x) + sec (x) sin (x)

Rewrite using trig identities

= sec (x) + tan (x)

2 x^{4} + 5 x^{3}

3 x y^{3} x - x y x^{3} + y y^{3} x

lo g_{10} (10) (1000)

1^{2} + 5^{2}

sec (θ) - sin (θ) tan (θ)

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