Matematika

Pertanyaan

Buktikan bahwa (tan alpha + cos alpha/1+sin alpha) × sin alpha= tan alpha

tolong y,please...

1 Jawaban

  • (tanx + cosx/1+sinx) . sinx = tanx

    (sinx/cosx + cosx/1+sinx) . sinx = tanx

    (sinx (1 + sinx) + cos²x / cosx(1 + sinx) . sinx = tanx

    (sinx + sin²x + cos²x / cosx(1 + sinx) . sinx = tanx

    (sinx + 1) / cosx(1 + sinx) . sinx = tanx

    (1 / cosx) sinx = tanx

    sinx / cosx = tanx

    tanx = tanx

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