Write the expression as either the sine, cosine, or tangent of a single angle.
sin48° cos15° - cos48° sin15°

Solution:

Given:

Expression is sin 48° cos 15° - cos 48° sin 15°,

which is of the form

sin A cos B - cos A sin B = sin (A - B),

which is a compound angle formula of trigonometric ratios.

Here,

A = 8x and B = 2x.

Substituting these values in the formula we get,

sin 48° cos 15° - cos 48° sin 15°

= sin (48° - 15°)

= sin 33°

Write the expression as either the sine, cosine, or tangent of a single angle.
sin48° cos15° - cos48° sin15°

Summary:

The expression for the given trigonometric function, sin 48° cos 15° - cos 48° sin 15°, can be written as sin = 33°.