If Tan69+Tan66-Tan69.Tan66=2k then k=
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69+66 = 135
apply tan on the both side
tan (69 + 66) = tan 135
tan 69 + tan 66 /1 - tan 69 . tan 66 = -1
tan 69 + tan 66 = -1 + tan 69 .tan 66
tan 69 + tan 66 - tan 69 .tan 66 = -1
k = -1/2
I hope this is helps you.
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