SOLUTION: How do you write sec theta in terms of sin theta only?

Algebra ->  Trigonometry-basics -> SOLUTION: How do you write sec theta in terms of sin theta only?       Log On


   

Question 1014973: How do you write sec theta in terms of sin theta only?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
sec x = 1/cos x
but
sin^2 x + cos^2 = 1
so that
cos^x = 1 - sin^2 x
and
cos^x = sqrt(1 - sin^2 x)
and thus
sec x = 1/sqrt(1 - sin^2 x)