Respuesta :

scme1702
The identity that applies here is:
sin(A - B) = sinAcosB - sinBcosA
With A = 48 and B = 15

Thus,
sin(48 - 15)
= sin(33)

The answer is D.

Answer:  Option 'D' is correct.

Step-by-step explanation:

Since we have given that

sin 48° cos 15° - cos 48° sin 15°

As we know that,

[tex]\sin A\cos B-\cos A\sin B=\sin(A-B)[/tex]

So, we get that

[tex]A=48\textdegree\\B=15\textdegree[/tex]

Now, put it in the above expression.

[tex]\sin (A-B)=\sin(48-15)=\sin 33\textdegree[/tex]

Hence, Option 'D' is correct.

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