Answer:
[tex]\sin(30)[/tex]
Step-by-step explanation:
Given
[tex]\sin(23) \cos(7) + \cos(23) \sin(7)[/tex]
Required
An equivalent expression
The above is an illustration of the sine formula which states:
[tex]\sin(A) \cos(B) + \cos(A) \sin(B) = \sin(A + B)[/tex]
In this case:
[tex]A = 23\\ B = 7[/tex]
So:
[tex]\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(23 + 7)[/tex]
[tex]\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(30)[/tex]
Hence, an equivalent expression is: [tex]\sin(30)[/tex]
