Question

use sinx=1/4 to evaluate the following function.
(a) sin(-x)=
(b) csc(-x)=

Answer 1

sin(-x) = - sin(x)
\(\bf csc(x) = \cfrac{1}{sin(x)}\implies csc(-x) = \cfrac{1}{-\quad sin(x)}
\)

Answer 2

(a) \[\sin -x =\sin \pi -\sin x = 0- 1/4 =-1/4\]
(b) \[\csc -x =\frac{ 1 }{ \sin -x } = \frac{ 1 }{ \frac{- 1 }{ 4} } = -4 \]