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Rangkuman Materi Trigonometry, persamaan sinus, persamaan trigonometri,…

- - - - Jawaban
        tan x = 1
        tan x = 45°
        (i)x= 45° +k.180°
        k = 0
        (i)x = 45° + 0.180° = 45° (M)
        k = 1
        (i)x = 45° + 1.180° = 225° (M)
        k = 2
        (i)x = 45° + 2.180° = 405° (TM)
        HP = {45°, 225°}
  - - - -sin x = cos (90°+ x)
        -cos x = cos (180°- x)
        sin x = cos (90°- x)
        
        Soal
        The solutions set of 2 cos (270° + x) = 1. 0° ≤ x ≤ 360° is
        
        Jawaban
        2 cos (270 + x) = 1
        2 sin x = 1
        sin x = 1/2
        sinx = sin 30°
        (i)x = 30° + k.360°
        (ii)x = (180° - 30°) + k.360° = 150° + k. 360°
        k=0
        (i)x = 30° + 0.360° = 30°
        (ii)x = 150° + 0.360° = 150°
        HP ={30°, 150°}
      - -sinx = sin (-x)
        -cos x = sin (270°- x)
        cos x = sin (90°+ x)
      - -tan x = tan (-x)
        -cot x = tan (90°+ x)
        cot x = tan (90°- x)