Question

Question #f7708

Answer 1

Constant 1

Explanation:

first thing is: `sin(pi/2 - y)` = cos(y)
Imagine y = 0. Then, sin(pi/2) = 1, which = cos(0)
y = `pi/2`, then `sin(pi/2 - pi/2) = sin(0) = 0`, which is cos(pi/2).

Carry this on long enough to satisfy yourself.

So then, `sec (y) cos(y) = cos(y)/cos(y) = 1`
pdate: bear in mind that the function is undefined where cos(y) = 0. I.e,
y=`pi/2, 3pi/2, etc.` You can get as infinitesimally close as you want to these points, but exactly at them, the function is undefined.