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
![\tan\left(x + \dfrac\pi3\right) = \dfrac1{\sqrt3} \implies \tan^{-1}\left(\tan\left(x + \dfrac\pi3\right)\right) = \tan^{-1}\left(\dfrac1{\sqrt3}\right) + n\pi](https://tex.z-dn.net/?f=%5Ctan%5Cleft%28x%20%2B%20%5Cdfrac%5Cpi3%5Cright%29%20%3D%20%5Cdfrac1%7B%5Csqrt3%7D%20%5Cimplies%20%5Ctan%5E%7B-1%7D%5Cleft%28%5Ctan%5Cleft%28x%20%2B%20%5Cdfrac%5Cpi3%5Cright%29%5Cright%29%20%3D%20%5Ctan%5E%7B-1%7D%5Cleft%28%5Cdfrac1%7B%5Csqrt3%7D%5Cright%29%20%2B%20n%5Cpi)
![\implies x + \dfrac\pi3 = \dfrac\pi6 + n\pi](https://tex.z-dn.net/?f=%5Cimplies%20x%20%2B%20%5Cdfrac%5Cpi3%20%3D%20%5Cdfrac%5Cpi6%20%2B%20n%5Cpi)
where n is any integer. Solving for x, we get
![x = -\dfrac\pi6 + n\pi](https://tex.z-dn.net/?f=x%20%3D%20-%5Cdfrac%5Cpi6%20%2B%20n%5Cpi)
and the solutions in the interval [0, 2π] are x = 5π/6 and x = 11π/6 (for n = 1 and n = 2).
Just follow basic distribution and simplifying rules and your answer is x+46=
Answer:
19 is 4/dc^2
21 is y+4/4
23 is x+2/x-2
Step-by-step explanation:
At the same rate, it will take 638.3 seconds to run 1 mile.
hope it helps you .
Answer:
that's the right answer
Step-by-step explanation: