What is (1+tan^2(x))/(sec(x)) ?

The solution to (1+tan^2(x))/(sec(x)) is sec(x)

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simplify (1+tan^2(x))/(sec(x))

simplify

\frac{1 + tan ^{2} ( x )}{sec ( x )}

sec (x)

Solution steps

\frac{1 + tan ^{2} ( x )}{sec ( x )}

Simplify

1 + tan^{2} (x) : sec^{2} (x)

= \frac{sec ^{2} ( x )}{sec ( x )}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

sec^{2} (x) = sec (x) sec (x)

= \frac{sec ( x ) sec ( x )}{sec ( x )}

Cancel the common factor:

sec (x)

= sec (x)

2^{8} \cdot 3^{2}

(x + \frac{b}{2 a})^{2}

\frac{2}{4} - 1

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