SOLUTION: Use a sum or difference formula to find the exact value of the following. cos 7pi/10 * cos 2pi/15 + sin 7pi/10 * sin 2pi/15= ???

Algebra.Com
Question 890708: Use a sum or difference formula to find the exact value of the following.
cos 7pi/10 * cos 2pi/15 + sin 7pi/10 * sin 2pi/15= ???

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Use a sum or difference formula to find the exact value of the following.
cos 7pi/10 * cos 2pi/15 + sin 7pi/10 * sin 2pi/15= ???
***
Identity: cos(x-y)=cosxcosy+sinxsiny
cos 7pi/10 * cos 2pi/15 + sin 7pi/10 * sin 2pi/15
=cos(7π/10-2π/15)=cos(21π/30-4π/30)=cos(17π/30)

RELATED QUESTIONS

Use a sum or difference formula to find the exact value of the following. {{{... (answered by ikleyn)
Use a sum or difference formula to find the exact value of the following: {{{... (answered by lwsshak3)
Use a sum or difference formula to find the exact value of the following. cos 2(pi)/5... (answered by ikleyn)
Find the exact value of sin(7pi/12) by using a sum or difference formula. (answered by Edwin McCravy)
Find the value of sin 3pi/2 + cos 2pi/3 + sec... (answered by stanbon)
Use the sum/difference identities to simplify the expression. Do not use a calculator. (answered by jim_thompson5910)
Use a sum or difference formula to find the exact value of the following.... (answered by stanbon)
Use a sum or difference formula to find the exact value of the following.... (answered by lwsshak3)
I am supposed to find the exact values of the following: sin^-1 (sin(-7pi/10))... (answered by stanbon)