SOLUTION: Write the expression as the sine or cosine of an angle. cos5xcos7x-sin5xsin7x

Algebra.Com
Question 1138431: Write the expression as the sine or cosine of an angle.
cos5xcos7x-sin5xsin7x

Answer by ikleyn(52830)   (Show Source): You can put this solution on YOUR website!
.
. . . = cos(5x + 7x) = cos(12x).     ANSWER



Use the addition formula for cosine


    cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b).


It is one of fundamental/basic formulas of trigonometry.

----------------

On this formula, see the lessons
    - Addition and subtraction formulas
    - Addition and subtraction formulas - Examples
in this site.


RELATED QUESTIONS

Write the expression as the sine, cosine, or tangent of an angle. cos 94° cos 37° +... (answered by Century)
Write the expression as the sine, cosine, or tangent of an angle. sin 5x cos x - cos... (answered by tommyt3rd)
Write the expression as the sine, cosine, or tangent of an angle. cos 112° cos 45° +... (answered by ikleyn,MathTherapy)
Write the expression as the sine or cosine of an angle. cos 5x cos 7x-sin 5x sin... (answered by MathLover1,ikleyn)
Please help me! Thank you so much! Write the expression as the sine, cosine, or tangent... (answered by KMST)
Hello! I need help solving this: Write the expression as the sine, cosine, or... (answered by ikleyn)
Write the expression as the sine or cosine of an angle. sin ( pi/2 ) cos (pi/7) + cos ( (answered by ikleyn)
Write the expression as the sine, cosine, and tangent of an angle: Sin 330 cos 45 -... (answered by lwsshak3)
write the expression as sine, cosine or tangent of an angle. Then find the exact value of (answered by Alan3354)