Matematika

Pertanyaan

Kak bantuin aku kerjain mtk donk plisss
Berapa hasil dari :
1. Sin 135° + cos 135° =
2. Sin 120° + cos 150° =
3. Cos 120 + sin 150° =
4. Tan 45°. Sin 45° =
5. Cos 45°. Tan 45° =

2 Jawaban

  • 1. sin 135° + cos 135° = ((√2)/2) - ((√2)/2) = 0
    2. sin 120° + cos 150° = 
    ((√3)/2) - ((√3)/2) = 0
    3. cos 120 + sin 150°  = -(1/2) + 
    (1/2) = 0
    4. tan 45°. sin 45°       = 1 . 
    ((√2)/2) = (√2)/2
    5. cos 45°. tan 45°      = 
    ((√2)/2) . 1 = (√2)/2
  • 1
    [tex]sin {45}^{0} - cos{45}^{0} \\ \sqrt{2} \times \frac{1}{2} - \sqrt{2} \times \frac{1}{2} = 0[/tex]
    2
    [tex]sin {60}^{0} - cos {30}^{0} \\ \sqrt{3} \times \frac{1}{2} - \sqrt{3} \times \frac{1}{2} = 0[/tex]
    3
    [tex] - cos {60}^{0} + sin {30}^{0} \\ - \frac{1}{2} + \frac{1}{2} = 0[/tex]
    4
    [tex] \sqrt{2} \times \frac{1}{2} \times 1 = \sqrt{2} \times \frac{1}{2}[/tex]
    5
    1/2 [tex] \sqrt{2}[/tex] x 1 = 1/2 [tex] \sqrt{2}[/tex]

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