Answer:
C) We use csc = [tex]\frac{1}{sinx}[/tex] to verify.
Step-by-step explanation:
Given : [tex]\frac{sinx+ 1}{sinx}[/tex] = 1 +csc x.
To find : What basic trigonometric identity would you use to verify.
Solution : We have given that [tex]\frac{sinx+ 1}{sinx}[/tex] = 1 +csc x.
To verify we need to show left hand side equal to right hand side.
For right hand side
1 +csc x
By csc = [tex]\frac{1}{sinx}[/tex].
Plug the value csc = [tex]\frac{1}{sinx}[/tex].
1 + [tex]\frac{1}{sinx}[/tex].
Taking least common multiple
[tex]\frac{sinx +1}{sinx}[/tex] = left hand side.
We can see this is equal to left hand side
Hence , left hand side = right hand side.
Therefore, C) We use csc = [tex]\frac{1}{sinx}[/tex] to verify.
