Diagonals in diamond

In the rhombus is given a = 160 cm, alpha = 60 degrees. Calculate the length of the diagonals.

Correct result:

u1 =  160
u2 =  277.13

Solution:

u12=a2+a2−2aacos⁡60∘ u12=2a2−2a2cos⁡60∘ u1=a2(1−cos⁡60∘)=160
 β=180∘−60∘=120∘ u22=a2+a2−2aacos⁡120∘ u22=2a2−2a2cos⁡120∘ u2=a2(1−cos⁡120∘)=277.13

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