Given the vector a = (1 / 2, √ 3 / 2), B = (cosx, SiNx). If a · B = 2cos [(12K π + 13 π) / 6 + x] (K ∈ z), find the value of Tan (x + 5 π / 12) Only the answer is OK

Given the vector a = (1 / 2, √ 3 / 2), B = (cosx, SiNx). If a · B = 2cos [(12K π + 13 π) / 6 + x] (K ∈ z), find the value of Tan (x + 5 π / 12) Only the answer is OK

∵ vector a = (1 / 2, √ 3 / 2), vector b = (cosx, SiNx), ∵ vector a · vector b = (1 / 2) cosx + (√ 3 / 2) SiNx = 2cos [(12K π + 13 π) / 6 + x], ∵ sin (π / 6) cosx + cos (π / 6) SiNx = 2cos (2k π + 2 π + X + π / 6) = 2cos (x + π / 6), ∵

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