Question

Write the expression as either the sine, cosine, or tangent of a single angle.sin 48° cos 15° - cos 48° sin 15°

Answer 1

Recall the formula for the sine of the difference of two angles:

`\sin (\alpha-\beta)=\sin (\alpha)\cos (\beta)-\sin (\beta)\cos (\alpha)`

By comparing with the expression:

`\sin (48)\cos (15)-\cos (48)\sin (15)`

We can notice that it is the same as:

`\sin (48-15)`

Since 48-15=33, therefore: