Simplify to an expression of the form (a sin(θ)). 6sin(π/8) 6cos(π/8)

Answer 1

We will use the formula

sin 2x = 2 sin x cos x

We can see that right now x is π/8, therefore 2x is π/4. So:

36 sin(π/8) cos(π/8) = 18 sin π/4

Now we can see that in the format a sin(θ), a is 18 and θ is π/4