side rhombus

a   -  side of a rhombus

DD blue  - larger diagonal

d blue  - smaller diagonal

alpha red1  - acute angles

beta green  - obtuse angles

 

Formulas for calculating cosine of an angles in a rhombus if given side and diagonal  :

angles rhombus F11

angles rhombus F12

angles rhombus F21

angles rhombus F22

 

Formula for calculating sine of an angles in a rhombus if given both diagonals  :

angles rhombus F331

angles rhombus F332

 

Formula for calculating sine of an angles in a rhombus if given area and side :

angles rhombus F31

angles rhombus F32

 

Formulas for calculating tangent of an one-half angles in a rhombus if given both diagonals   :

angles rhombus F4

angles rhombus F5

 

* It is true in this case:

angles rhombus F6

angles rhombus F7