Question

The expression sin(23°)cos(7°) + cos(23º)sin(7°) is equivalent to

Answer 1

Answer:

$\sin(30)$

Step-by-step explanation:

Given

$\sin(23) \cos(7) + \cos(23) \sin(7)$

Required

An equivalent expression

The above is an illustration of the sine formula which states:

$\sin(A) \cos(B) + \cos(A) \sin(B) = \sin(A + B)$

In this case:

$A = 23\\ B = 7$

So:

$\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(23 + 7)$

$\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(30)$

Hence, an equivalent expression is: $\sin(30)$