Question

Answer question number 28. The question is in the image.

Answer 1

Given

csc(-420)

Find

Value of given function

Step-by-step explanation

`\begin{gathered} csc(-420) \\ =-csc(420) \\ =-csc(360+60) \\ =-csc(60) \\ =-(1)/(sin(60)) \\ =-(1)/((√(3))/(2)) \\ =-(2)/(√(3)) \\ =-(2√(3))/(3) \end{gathered}`

Final Answer

`csc\left(-420\right)=-(2√(3))/(3)`