Question

√2/2 csc x − 1 = 0

Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)

Answer 1

\[\frac{ \sqrt{2} }{ 2 } \csc x-1=0\]

Answer 2

hope you know that csc x = 1/sin x

yes ?

so rewrite this equation and will get

sqrt2 1
----- * ----- -1 = 0 add to both sides 1 and will get
2 sin x


sqrt2 1
---- * ----- = 1 multiply both sides by sin x and will get
2 sin x


sqrt2
----- = sin x
2

but we know that in case of sin x = sqrt2 /2 => x = arcsin(sqrt2 /2) what mean that
x = 45 degree

hope helped