Question

prove sec(pi+x)=-sinx

Answer 1

\[ \sec (\pi+x) = - \sec x\]

Answer 2

how do i prove it though?

Answer 3

help

Answer 4

\[ \sec x = \frac{1}{\cos x} \]
\[ \cos ( \pi + x) = \cos \pi \cos x - \sin \pi \sin x = - \cos x \]

Answer 5

but i wanna find -secx..or is it the same?

Answer 6

put \( \pi +x\) in place of x in sec in the above ...

Answer 7

so it this the answer then?

Answer 8

@hash.nuke is this the answer then?

Answer 9

yes