Find the exact values of s in the given interval that satisfy the given condition.
-$[ 0,2 \pi ) ; \tan ^ { 2 } \mathrm {~s} = \frac { 1 } { 3 }$
A) $\frac { \pi } { 6 } , \frac { 5 \pi } { 6 } , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }$
B) $\frac { \pi } { 3 } , \frac { 4 \pi } { 3 }$
C) $\frac { \pi } { 6 } , \frac { 7 \pi } { 6 }$
D) $\frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \frac { 4 \pi } { 3 } , \frac { 5 \pi } { 3 }$

Question

Quizplus · Accepted Answer

The tangent function is positive in the first and third quadrants. In the interval [0, 2π), the first quadrant is from 0 to π/2 and the third quadrant is from π to 3π/2. So, the solutions are s = π/6, 5π/6, 7π/6, and 11π/6.

Find the Exact Values of S in the Given Interval [0,2π);tan⁡2 s=13[ 0,2 \pi ) ; \tan ^ { 2 } \mathrm {~s} = \frac { 1 } { 3 }[0,2π);tan2 s=31​

Find the Exact Values of S in the Given Interval $[ 0,2 \pi ) ; \tan ^ { 2 } \mathrm {~s} = \frac { 1 } { 3 }$