Answer:
[tex]cos(33^{\circ})[/tex]
Step-by-step explanation:
Given
[tex]sin(57^{\circ})[/tex]
Required
Determine an equivalent expression
In trigonometry:
[tex]sin(\theta)= cos(90^{\circ} - \theta)[/tex]
In [tex]sin(57^{\circ})[/tex]
[tex]\theta=57^{\circ}[/tex]
Substitute [tex]57^{\circ}[/tex] for [tex]\theta[/tex]
in [tex]sin(\theta)= cos(90^{\circ} - \theta)[/tex]
[tex]sin(57^{\circ})= cos(90^{\circ} - 57^{\circ})[/tex]
[tex]sin(57^{\circ})= cos(33^{\circ})[/tex]
Hence, the equivalent expression is: [tex]cos(33^{\circ})[/tex]
