Question 42450
tan q - (sec q / sin q) =
(sin q / cos q) - (1 / sin q cos q) =
(sin^2 q / sin q cos q) - (1 / sin q cos q) =
sin^2 q - 1 / sin q cos q
- cos^2 q / sin q cos q =
- cos q / sin q =
- cot q