Find a word (written in standard capital letters) that is unchanged when reflected in a horizontal line and in a vertical line. the word must appear in a dictionary (in a language of your choice) in order to be a valid solution.

  any of HOH, HOOH, IOI, OHO, XOX, XXX

Step-by-step explanation:

Only the letters H, I, O, X are both vertically and horizontally symmetric. There aren't a lot of palindromes that can be made with these letters. Many are acronyms or have meaning only in special contexts (not all of which are family-rated).

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2