Write the expression as either the sine, cosine, or tangent of a single angle.

sin 57° cos 13° - cos 57° sin 13°

Question

Mathematics

Hannah Simpson

1 May, 14:42

Write the expression as either the sine, cosine, or tangent of a single angle.

sin 57° cos 13° - cos 57° sin 13°

+5

Answers (2)

Know the Answer?

Bryan Powell · Answer 1

Bryan Powell 1 May, 15:21

0

The answer is sin 44 degrees

Dallas Lewis · Answer 2

There exists a trigonometric identity which states that,

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

This is very similar to the given expression with A equal to 57° and B equal to 13°. The simplified form of the angle is,

sin (57° - 13°) = sin 44°

Write the expression as either the sine, cosine, or tangent of a single angle.sin 57° cos 13° - cos 57° sin 13°

Write the expression as either the sine, cosine, or tangent of a single angle.

sin 57° cos 13° - cos 57° sin 13°