Matematika

Pertanyaan

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Tentukanlah hp dari
1 . 2 sin x . cos x = cos x
2. Akar 2 sin x . cos x = sin x
3. 2 sin A = akar 3 tan A
4. 4 cos A = cot A
5. 5 (sin A- cos A) =4 sin A - 3cos A
6. 2 csc A = tan A + cot A
7. 6 sin A . cos A - cos A - 5 sin A + 5 = 0
8. Cos A + cot A = akar 3

1 Jawaban

  • 1. 2 sin x = cos x / cos x
    sin x = 1/2
    x = 30°, 150°

    2. √2 sin x cos x = sin x
    cos x = sin x / sin x √2
    cos x = 1/√2
    x = 45°, 315°

    3. 2 sin A = √3 tan A
    2 sin A = √3 sin A/cos A
    sin A × cos A/sin A = √3/2
    cos A = √3/2
    A = 30, 330

    4. cos A = cot A
    cos A = cos A/sin A
    sin A = cos A/cos A
    sin A = 1
    A = 90

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