How do you sketch #theta=(7pi)/4# in standard position? Trigonometry Right Triangles Measuring Rotation 1 Answer Alan P. Jul 29, 2015 #2pi = (8pi)/4# is one full revolution #rarr (7pi)/4# is #pi/4# less than a full revolution. Explanation: ...to look at it another way: #pi/2# is a right angle #(7pi)/4 = 3*(pi/2) + 1/2*pi/2# #color(white)("XXXX")# is 3 right-angles plus half a right angle Answer link Related questions What are coterminal angles? What angles are co-terminal with #45^@#? What does it mean to have a negative angle? When measuring angles, do you move clockwise or counterclockwise? How do you draw angles of rotation in standard position? What is the positive and negative angle that is coterminal with #120^\circ#? What is the positive and negative angle that is coterminal with #-150^\circ#? How do you find the coterminal angles in radians? If the point (5/13,12/13) corresponds to angle theta in the unit circle, what is cot theta? How do you find the trig ratios by drawing the terminal and finding the reference angle: sin(235°)? See all questions in Measuring Rotation Impact of this question 32433 views around the world You can reuse this answer Creative Commons License