1) cos x = ¹/₂ √3 = cos 30 x = 30 + k. 360 atau x = - 30 + k. 360 k = 0,1,2,3,.. . k = 0 -->x = 30 , x = - 30 (tidak memenuhi) k = 1 -->x = 390 (tidak memenuhi), x = 330 HP x = (30, 330)
2) tan x = ¹/₃ √3 = tan 30 = tan π/6 x = π/6 + k. π k = 0,1,2,3,.. . k = 0 --> x = π/6 k = 1 --> x = π/6 + π = 7/6 π k = 2 --> x = π/6 + 2π = 13/6 π Hp x = ( π/6 , 7π/6, 13/6 π)
3) √2 + 2 cos x = 0 2 cos x = - √2 cos x = - ¹/₂ √2 = - cos 45 cos x =cos 135 x = 135 + k. 360 atau x = - 135 + k. 360 k = 0,1,2,3.. . k = 0 --> x = 135 atau x = - 135 (tidak memenuhi) k = 1 --> x = 495 (tidak memenuhi) atau x = 225 HP x = (135, 225) x1 = 135 x2 = 225 x1 + x2 = 135 +225 = 360
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Ramadhansyah101201
Thanks makasih bnget ... ada lanjutannya no 5 dan 4 mau di request ni
Verified answer
Semoga membantu yaoke1) cos x = ¹/₂ √3 = cos 30
x = 30 + k. 360 atau x = - 30 + k. 360
k = 0,1,2,3,..
.
k = 0 -->x = 30 , x = - 30 (tidak memenuhi)
k = 1 -->x = 390 (tidak memenuhi), x = 330
HP x = (30, 330)
2) tan x = ¹/₃ √3 = tan 30 = tan π/6
x = π/6 + k. π
k = 0,1,2,3,..
.
k = 0 --> x = π/6
k = 1 --> x = π/6 + π = 7/6 π
k = 2 --> x = π/6 + 2π = 13/6 π
Hp x = ( π/6 , 7π/6, 13/6 π)
3) √2 + 2 cos x = 0
2 cos x = - √2
cos x = - ¹/₂ √2 = - cos 45
cos x =cos 135
x = 135 + k. 360 atau x = - 135 + k. 360
k = 0,1,2,3..
.
k = 0 --> x = 135 atau x = - 135 (tidak memenuhi)
k = 1 --> x = 495 (tidak memenuhi) atau x = 225
HP x = (135, 225)
x1 = 135
x2 = 225
x1 + x2 = 135 +225 = 360