Answer:
The statement is false because the equation has solutions.
Step-by-step explanation:
Given the statement that the equation [tex]\csc x = - 1[/tex], has no solution.
The statement is false because the equation has a definite solution.
Now, [tex]\csc x = - 1[/tex]
⇒ [tex]\sin x = \frac{1}{- 1} = - 1[/tex] {Since we know that [tex]\sin x = \frac{1}{\csc x}[/tex] }
⇒ [tex]x = \sin ^{- 1}(- 1)[/tex]
⇒ [tex]x = \frac{3\pi }{2}[/tex] (Answer)
