Solving a big problem of triangle and vector in Mathematics Let a = (SiNx / 2, root 3cosx / 2) and B = (cosx / 2, cosx / 2). Let f (x) = a · B (1) Find the zero point of function f (x) on [0,2] () let the opposite sides of △ ABC inner angles a, B and C be a, B and C respectively, and f (a) = root 3 If you're not finished, add: B = 2, Sina = 2sinc, find the value of C

Solving a big problem of triangle and vector in Mathematics Let a = (SiNx / 2, root 3cosx / 2) and B = (cosx / 2, cosx / 2). Let f (x) = a · B (1) Find the zero point of function f (x) on [0,2] () let the opposite sides of △ ABC inner angles a, B and C be a, B and C respectively, and f (a) = root 3 If you're not finished, add: B = 2, Sina = 2sinc, find the value of C

Let me do the following: 1F (x) = a · B = (SiNx / 2, sqrt (3) cosx / 2) · (cosx / 2, cosx / 2) = (1 / 2) SiNx + (sqrt (3) / 2) cosx + sqrt (3) / 2 = sin (x + π / 3) + sqrt (3) / 2, f (x) = 0, then: sin (x + π / 3) = - sqrt (3) / 2, that is: x + π / 3 = 2K π - π / 3 or x + π / 3 = 2K - 2 π / 3