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Problem How many and which values of x x x sin 3 x = sin x \sin 3x = \sin x sin 3 x = sin x 0 ≤ x < 2 π 0 \le x < 2\pi 0 ≤ x < 2 π { 0 , π 4 , 3 π 4 , π 2 , 5 π 4 , 7 π 4 } \{0,\;\dfrac{\pi}{4},\;\dfrac{3\pi}{4},\;\dfrac{\pi}{2},\;\dfrac{5\pi}{4},\;\dfrac{7\pi}{4}\} { 0 , 4 π , 4 3 π , 2 π , 4 5 π , 4 7 π } { 0 , π 4 , 3 π 4 , π , 5 π 4 , 7 π 4 } \{0,\;\dfrac{\pi}{4},\;\dfrac{3\pi}{4},\;\pi,\;\dfrac{5\pi}{4},\;\dfrac{7\pi}{4}\} { 0 , 4 π , 4 3 π , π , 4 5 π , 4 7 π } { π 4 , 3 π 4 , 5 π 4 , 7 π 4 } \{\dfrac{\pi}{4},\;\dfrac{3\pi}{4},\;\dfrac{5\pi}{4},\;\dfrac{7\pi}{4}\} { 4 π , 4 3 π , 4 5 π , 4 7 π } { 0 , π 4 , 3 π 4 , 5 π 4 , 7 π 4 , 2 π } \{0,\;\dfrac{\pi}{4},\;\dfrac{3\pi}{4},\;\dfrac{5\pi}{4},\;\dfrac{7\pi}{4},\;2\pi\} { 0 , 4 π , 4 3 π , 4 5 π , 4 7 π , 2 π } Browse the problem library