SOLUTION: Use product-to-sum identity to rewrite the expression cos 40° cos 20° Thank you

Algebra.Com
Question 1101605: Use product-to-sum identity to rewrite the expression
cos 40° cos 20°
Thank you

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
cos(x)cos(y)=(1/2)​​ [cos(x−y)+cos(x+y)]
cos 40*cos 20=(1/2)[(cos 20)+cos (60)]
Check
cos 40*cos 20=0.7198
cos 20+cos 60=1.44
half of that is 0.72 (0.7198 with less rounding).

RELATED QUESTIONS

Use a sum-to-product formula to rewrite cos 5a + cos 4a as a... (answered by vleith)
can someone help me with this problem please? THANK YOU! Write the product as a sum... (answered by ikleyn)
please help me thank you. write the product as a sum using a product to sum identity.... (answered by jim_thompson5910)
Use an angle sum identity to verify the identity cos^2 theta = 2 cos^2 theta -... (answered by Alan3354)
use an angle sum identity to verify the identity cos 2 theta = 2 cos^2 theta... (answered by lwsshak3)
Use a cofunction identity to write an equivalent expression.... (answered by ikleyn)
Use an identity to find the exact value of each expression: Note: You are not allowed... (answered by Fombitz)
So, the instructions on the problem say: 'Use the identities to rewrite each expression... (answered by jsmallt9)
Which sum or difference identity would you use to verify that cos(90 + theta) =... (answered by fractalier)