# How do you use the product to sum formulas to write #cos4thetasin6theta# as a sum or difference?

##### 1 Answer

Jan 9, 2017

#### Explanation:

Use trig identity:

In this case:

(x + y)/2 = 4t --> x + y = 8t

(x - y)/2 = 6t --> x - y = 12t

After solving, we get:

x = 10t and y = - 2t

Finally,