What is (sec(θ))/(csc(θ)) ?

The solution to (sec(θ))/(csc(θ)) is tan(θ)

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simplify (sec(θ))/(csc(θ))

simplify

\frac{sec ( θ )}{csc ( θ )}

tan (θ)

Solution steps

\frac{sec ( θ )}{csc ( θ )}

Express with sin, cos

= \frac{sin ( θ )}{cos ( θ )}

Rewrite using trig identities

= tan (θ)

\frac{sin ( x )}{sin ( 2 x )}

sin^{2} (4 x) + cos^{2} (4 x)

tan^{2} (x) - sin^{2} (x)

\frac{( 10 + 4 ) - 90}{81}