Buktika tanx/sinx sec x= 1

Buktikan [tex]\frac{\tan{x}}{\sin {x} \sec {x}} = 1[/tex]

[tex]\frac{\tan{x}}{\sin{x} \sec {x}} = 1 \\ \frac{\frac{\sin{x}}{\cos {x}}}{\sin {x} \frac{1}{\cos{x}}} = 1 \\ \frac{\frac{\sin{x}}{\cos{x}}}{\frac{\sin{x}}{\cos{x}}} = 1 \\ 1 = 1 \\[/tex]

Terbukti!