(1) A reference angle of 82˚ is used to construct 4 angles in a coordinate plane, with 1 angle per quadrant, where all of the angles have a positive measure less than 60 degrees. In keeping in mind the requirement of showing the steps you took to calculate the answers, what are the measures of each of the angles in (a) through (d) below, filling in the blank?
(a) The angle in Quadrant I is _______˚;
(b) The angle in Quadrant II is ________˚;
(c) The angle in Quadrant III is ________˚;
(d) The angle in Quadrant IV is ________˚.
(2) Find tan(θ) to four decimal places, provided that sin(θ) is equal to 2/9.
