1. How many tiles would be in Figure 5?*
1 answer:
You might be interested in
Rewrite the right side as √3/3 = 1/√3, and recall that tan(x) = 1/√3 when x = π/6. Then since tan is π-periodic, taking the inverse tan of both sides gives
where n is any integer. Solving for x, we get
and the solutions in the interval [0, 2π] are x = 5π/6 and x = 11π/6 (for n = 1 and n = 2).
You can download the answer here
bit.ly/3a8Nt8n