SOLUTION: please help me thank you. write the product as a sum using a product to sum identity. 2sin(x+6y)cos(x-6y).
Algebra.Com
Question 1085917: please help me thank you. write the product as a sum using a product to sum identity. 2sin(x+6y)cos(x-6y).
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The trig identity we'll use is
\cos(\beta) = \frac{1}{2}\left(\sin(\alpha+\beta)+\sin(\alpha-\beta)\right))
which is from this list of trig identities (see the "Product to Sum Formulas" section on page 2)
In this case,
= alpha = x+6y
= beta = x-6y
So this means,
\cos(x-6y) = \frac{1}{2}\left(\sin(x+6y+x-6y)+\sin(x+6y-(x-6y))\right))
\cos(x-6y) = \frac{1}{2}\left(\sin(2x)+\sin(x+6y-x+6y)\right))
\cos(x-6y) = \frac{1}{2}\left(\sin(2x)+\sin(12y)\right))
\cos(x-6y) = \frac{1}{2}\sin(2x)+\frac{1}{2}\sin(12y))
RELATED QUESTIONS
can someone help me with this problem please? THANK YOU!
Write the product as a sum... (answered by ikleyn)
Use product-to-sum identity to rewrite the expression
cos 40° cos 20°
Thank... (answered by Boreal)
Write the sum as a product: cos(14.3a) +... (answered by jim_thompson5910,Edwin McCravy)
Use the sum-to-product formulas to write the difference as a product.
cos(x + π/3)... (answered by stanbon)
Write the sum as a product using a sum-to-product identity.
sin (-α) + sin... (answered by Alan3354)
find the product... (answered by solver91311)
Solve the equation by first using a Sum-to-Product Formula.
sin θ+ sin3θ=0
(answered by stanbon)
I need help!
Write a monomial and a polynomial using x as the variable. Find their... (answered by stanbon)
Please help and let me know if i am correct! thank you
Express as a sum, difference, and (answered by edjones)