What is (sec(x))/(csc(x))+(csc(x))/(sec(x)) ?

The solution to (sec(x))/(csc(x))+(csc(x))/(sec(x)) is 2csc(2x)

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simplify (sec(x))/(csc(x))+(csc(x))/(sec(x))

simplify

\frac{sec ( x )}{csc ( x )} + \frac{csc ( x )}{sec ( x )}

2 csc (2 x)

Solution steps

\frac{sec ( x )}{csc ( x )} + \frac{csc ( x )}{sec ( x )}

Join

\frac{sec ( x )}{csc ( x )} + \frac{csc ( x )}{sec ( x )} : \frac{sec ^{2} ( x ) + csc ^{2} ( x )}{csc ( x ) sec ( x )}

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

Simplify

csc (x) sec (x) : 2 csc (2 x)

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

Express with sin, cos

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

Rewrite using trig identities

= 2 csc (2 x)

- lo g_{10} (0.00003)

[(5^{3})^{4}]^{2}

(103) + (- 142)

\frac{x + 3}{4} \cdot \frac{3 x - 18}{3 x + 9}

- \frac{16}{- 4}

What is (sec(x))/(csc(x))+(csc(x))/(sec(x)) ?
The solution to (sec(x))/(csc(x))+(csc(x))/(sec(x)) is 2csc(2x)