Find the Solution in the Interval [0,2 pi]
tan(theta/7)+ square root3= 0

9514 1404 393

  no solution

Step-by-step explanation:

The solutions to the equation are ...

  tan(θ/7) +√3 = 0

  tan(θ/7) = -√3

  θ/7 = arctan(-√3) +nπ . . . . . . . for integer n

  θ = 7(-π/3 +nπ) = 7π(n -1/3)

For n=0, θ = -7π/3 -- not in the required interval.

For n=1, θ = 14π/3 -- not in the required interval.

There are no solutions in the required interval.

-14

Step-by-step explanation:

4n - 6 , n= -2

= 4* (-2) - 6

= -8 -6

= - 14