use the product to sum formula to fill in the blanks in the identity below: sin(11x)cos(5x) = 1/2 (sin( x) +…

use the product to sum formula to fill in the blanks in the identity below: sin(11x)cos(5x) = 1/2 (sin( x) + sin( x)) put the smaller number in the first box. check answer

use the product to sum formula to fill in the blanks in the identity below: sin(11x)cos(5x) = 1/2 (sin( x) + sin( x)) put the smaller number in the first box. check answer

Answer

Explanation:

Step1: Recall product - to - sum formula

The product - to - sum formula for $\sin A\cos B$ is $\sin A\cos B=\frac{1}{2}[\sin(A + B)+\sin(A - B)]$.

Step2: Identify values of A and B

Here $A = 11x$ and $B=5x$.

Step3: Calculate $A + B$ and $A - B$

$A + B=11x+5x = 16x$ and $A - B=11x - 5x=6x$.

Answer:

$6,16$