Triangle \(ABC\) is similar to triangle \(DEF\), where angle \(A\) co…

Question

Prompt

Triangle

A B C

is similar to triangle

D E F

, where angle

A

corresponds to angle

D

and angle

C

corresponds to angle

F

. Angles

B

and

E

are right angles. If

cos A = \frac{14}{421}

, what is the value of

\frac{1}{sin F}

\frac{15}{421}

\frac{14}{421}

\frac{421}{14}

\frac{421}{15}