Question

hey guys can you please help me with this. i’m really desperate please help anything helps. thank u :(

Answer 1

- 29 / 20

Explanation

The cosec (x) = 1 / sin(x)

There are 2 ways to do this:

Either using a calculator:

sin^-1(20 / 29) = 43.60281897

so inputting into 1/sin(-x) where x = 43.6.....

This gives: -29 / 20

OR

1 / sin(x) = cosec ( x)

so cosec (x) = 1/(20/29)

= 29/20

By observing the cosec(x) graph, we see that to get cosec (-x), all we need to do is to minus our answer seeing as the graph is symmetrical across the axes. Therefore x = -29/20