What is the integral of (sec(t))/(cos(t)) ?

The integral of (sec(t))/(cos(t)) is tan(t)+C

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integral of (sec(t))/(cos(t))

\int \frac{sec ( t )}{cos ( t )} d t

tan (t) + C

Solution steps

\int \frac{sec ( t )}{cos ( t )} d t

Rewrite using trig identities

= \int sec^{2} (t) d t

Use the common integral:

\int sec^{2} (t) d t = tan (t)

= tan (t)

Add a constant to the solution

= tan (t) + C

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What is the integral of (sec(t))/(cos(t)) ?
The integral of (sec(t))/(cos(t)) is tan(t)+C