Si: Tg θ =√2 ∧ θ es agudo √7 Calcular: A = 3(Sen θ + Cos θ) – √7

Question

Si: Tg θ =√2 ∧ θ es agudo √7 Calcular: A = 3(Sen θ + Cos θ) – √7

in progress 0
Nguyệt Ánh 4 years 2021-08-28T15:47:47+00:00 1 Answers 14 views 0

Answers ( )

  1. thienthi
    0
    2021-08-28T15:49:02+00:00
    Reply

    Answer:

    A \approx 1.488

    Step-by-step explanation:

    Por definición de razones trigonométricas, tenemos las siguientes identidades:

    \tan \theta = \frac{y}{x} = \sqrt{2} (1)

    \sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}} (2)

    \cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}} (3)

    Si \theta es agudo, entonces x, y > 0.

    De (1), suponemos x = 1 que y = \sqrt{2}, entonces los valores de las funciones seno y coseno:

    \sin \theta = \frac{\sqrt{2}}{\sqrt{5}} = \sqrt{\frac{2}{5} }

    \sin \theta = \frac{\sqrt{10}}{5 }

    \cos \theta = \sqrt{\frac{1}{5} }

    \cos \theta = \frac{\sqrt{5}}{5}

    Por último, calculemos A:

    A = 3\cdot \left(\frac{\sqrt{10}}{5} + \frac{\sqrt{5}}{5} \right) - \sqrt{7}

    A \approx 1.488

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )