Question

How do you write 2sin5cos5 as a single trigonomic ratio?

Answer 1

The expression 2sin5cos5 can be written as the single trigonometric ratio sin(10) using the double angle formula for sine.

Step-by-step explanation:

To express 2sin5cos5 as a single trigonometric ratio, one can use the double angle formulas for sine:

• sin(2x) = 2sin(x)cos(x)

Using this identity, we can rewrite 2sin5cos5 as sin(10) because:

sin(10) = 2sin(5)cos(5)

Thus, by applying the double angle formula, 2sin5cos5 is equivalent to sin(10).