Conjugate of cos‌x−isin‌2x is cos‌x+isin‌2x So, sin‌x+i‌cos‌2‌x=cos‌x+isin‌2x Comparing real and imaginary parts, sin‌x=cos‌x‌ or ‌tan‌x=1 and cos‌2‌x=sin‌2x or tan‌2‌x=1 But for same value of x, both tan‌x and tan‌2‌x can not. Hence, no solution is possible.