Question

Someone please help me

Answer 1

Answer: csc -675 = √2

Explanation:

Keep adding 360 to find your reference angle.

-675 + 360 = -315

-315 + 360 = 45

Your reference angle is 45°

csc 45 =
`(1)/(sin 45)`

Remember your unit circle:

sin 45 =
`(√(2) )/(2)`

Substitute:

csc 45 =
`(1)/((√(2) )/(2))` >Keep change flip

csc 45 = 2/√2 >Get rid of root on bottom

csc 45 =
`(2√(2) )/(2)`

csc 45 = √2

csc -675 = √2