SOLUTION: Using the appropriate special triangle, determine θ if 0° ≤θ≤90° for tan θ/√3=1

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Question 1139849: Using the appropriate special triangle, determine θ if 0° ≤θ≤90° for tan θ/√3=1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

determine θ if 0° ≤ θ ≤90° for tan (theta)/sqrt(3)=1
The special triangles:
30-60-90 triangles
45-45-90 triangles
the trig ratios for 30° , 45° , and 60° : the table below summarizes our results
.............sin%28theta%29.............cos%28theta%29.............tan%28theta%29
30°..........sqrt%283%29%2F2..............1%2F2......................1%2Fsqrt%283%29
45°..........sqrt%282%29%2F2..............1%2Fsqrt%282%29...............1
60°............1%2F2.....................sqrt%283%29%2F2...............sqrt%283%29

These values tend to occur often in advanced trigonometry problems. Because of this, it is helpful to know them.

so, if you have
tan+%28theta%29%2Fsqrt%283%29=1
then
tan+%28theta%29=sqrt%283%29
from the table you got
theta=60° => and appropriate special triangle is 30-60-90 triangle