Question

if sin x = 1/a, a≠0, which statement must me be true?

(1) sec x=a (2) sec x=-1/a
(3) csc x=a (4)csc x =-1/a

Answer 1

\(\bf {\color{blue}{ csc(\theta)=\cfrac{1}{sin(\theta)}}}
\\ \quad \\ \quad \\

sin(x)=\cfrac{1}{a}\qquad a\ne 0
\\ \quad \\
sin(x)=\cfrac{1}{a}\implies a=\cfrac{1}{sin(x)}\)