Given
csc(-420)
Find
Value of given function
Explanation
[tex]\begin{gathered} csc(-420) \\ =-csc(420) \\ =-csc(360+60) \\ =-csc(60) \\ =-\frac{1}{sin(60)} \\ =-\frac{1}{\frac{\sqrt{3}}{2}} \\ =-\frac{2}{\sqrt{3}} \\ =-\frac{2\sqrt{3}}{3} \end{gathered}[/tex]
Final Answer
[tex]csc\left(-420\right)=-\frac{2\sqrt{3}}{3}[/tex]
