Matematika

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tolong kakak jawab no 10- 11 dengan cara
tolong kakak jawab no 10- 11 dengan cara

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1 Jawaban

  • 10) 1/(1 + sin A) . (1 - sin A)/(1 - sin A)
    = (1 - sin A) / (1 - sin^2 A)
    = (1 - sin A) / cos^2 A
    = 1/(cos^2 A) - (sin A)/(cos^2 A)
    = 1/(cos^2 A) - (sin A)/(cos A) . 1/(cos A)
    = sec^2 A - tan A sec A

    11) (sin A)/(1 + cos A) + (cos A)/(sin A)
    = (sin A)/(1 + cos A) . (1 - cos A)/(1 - cos A) + (cos A)/(sin A)
    = (sin A)(1 - cos A) / (1 - cos^2 A) + (cos A)/(sin A)
    = (sin A)(1 - cos A) / (sin^2 A) + (cos A)/(sin A)
    = (1 - cos A)/(sin A) + (cos A)/(sin A)
    = (1 - cos A + cos A)/(sin A)
    = 1/(sin A)
    = cosec A

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