Question 1093702


you have tan(T) = 1/sqrt(3).


that means opposite leg to the angle is 1 and adjacent leg to the angle is sqrt(3).


use pythagoream formula to find hypotenuse = sqrt(1^2 + sqrt(3)^2) = sqrt(1+3) = sqrt(4) = 2.


hypotenuse is equal to 2.


that means sin(t) = 1/2.


this corresponds to an angle of 30 degrees.


tangent is positive in first quadrant and third quadrant.


angle in third quadrant is 180 + 30 = 210 degrees.


radian equivalent for 30 degrees is 30 * pi / 180 = pi/6.


radian equivalent for 210 degrees is 210 * pi / 180 = 7pi/6.


selection a and d are correct, but you want the angle in quadrant 1, so the angle has to be pi/6 which is selection a.