SOLUTION: Hello! I need help solving this: Write the expression as the sine, cosine, or tangent of an angle. sin 64° cos 92° + cos 64° sin 92° Thank you

Algebra ->  Trigonometry-basics -> SOLUTION: Hello! I need help solving this: Write the expression as the sine, cosine, or tangent of an angle. sin 64° cos 92° + cos 64° sin 92° Thank you      Log On


   

Question 978115: Hello!
I need help solving this:
Write the expression as the sine, cosine, or tangent of an angle.
sin 64° cos 92° + cos 64° sin 92°
Thank you
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!

Use the  addition formula for sines  of  Trigonometry  (see,  for example,  the lesson  Addition and subtraction formulas  of this site)

sin(64°)*cos(92°) + cos(64°)*sin(92°) = sin(64° + 92°) = sin(156°) =

                                                          = sin(180°-156°) = sin(24°).         (Now use the  reduction formula for sines).