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Section 3.1Reference Angles The reference angle of any angle in standard position is the acute angle between its terminal side and the xaxis. The trigonometric functions of the angle and its reference angle differ at most in the sign dictated by the quadrant. o 45 is the reference angle o reference angle is 30 150o 315o Draw the angles in standard position and find the reference angles: 240o 60o 210o 330o Find the exact value of each of the following: cos 135o cot 510o Why bother with reference angles? If you know a trig function of an angle, but you know the angle is in a certain quadrant, you can adjust the angle to that quadrant. If sin θ = 1/2 and you know that θ is in quadrant 2, what will θ be? If tan θ = 1 and θ is in quadrant 2, what is θ? cos θ = 0.7660, θ is in Q2