Question

How do you use the double angle or half angle formulas to simplify 2sin35cos35?

Answer 1

`sin(70)`.

Explanation:

The double angle identity for the sine function states that

`sin(2x)=2sin(x)cos(x)`.

As you can see, if `x=35`, then your formula is exactly the right member of the equation: `2sin(35)cos(35)`. So, we know that your formula equals `sin(2*35)=sin(70)`.