How do you simplify $\frac{4 tan t sec t + 2 sec t}{6 tan t sec t + 2 sec t}$ $(4tantsect+2sect)/(6tantsect+2sect)$ ?

Question

2021 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-24T15:46:01

$= \frac{(2 tan t + 1)}{(3 tan t + 1)}$ $=((2tant+1))/((3tant+1))$

$\frac{4 tan t sec t + 2 sec t}{6 tan t sec t + 2 sec t}$ $(4tantsect+2sect)/(6tantsect+2sect)$

$= \frac{2 sec t (2 tan t + 1)}{2 sec t (3 tan t + 1)}$ $=(2sect(2tant+1))/(2sect(3tant+1))$

$=(cancel(2sect)(2tant+1))/(cancel(2sect)(3tant+1))$

$=((2tant+1))/((3tant+1))$

How do you simplify (4tantsect+2sect)/(6tantsect+2sect)4tantsect+2sect6tantsect+2sect(4tantsect+2sect)/(6tantsect+2sect)?