Write the expression as the sine, cosine, or tangent of an angle.
sin57° cos13° - cos57° sin13°. Select one:
cos70°
cos44°
sin44°
sin70°
Solution:
Given: Expression is sin57° cos13° - cos57° sin13°
This shows the difference of two angles 57° and 13°.
sin(a - b) = sina cosb - cosa sinb is the most applied trigonometric formula.
So here we have a = 57° and b = 13°
sin57° cos13° - cos57° sin13° = sin(57° - 13°)
⇒ sin57° cos13° - cos57° sin13° = sin44°
Write the expression as the sine, cosine, or tangent of an angle.
sin57° cos13° - cos57° sin13°. Select one:
Summary:
The value of sin57° cos13° - cos57° sin13° is sin44°.
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