Matematika

Pertanyaan

Jika salah satu diantara 3 soal ada yg tau tolong dijawab ya..
Jika salah satu diantara 3 soal ada yg tau tolong dijawab ya..

1 Jawaban

  • 10. trigonometri

    tan x = 1/t
    tan x = y/x
    x = t, y = 1 --> r² = x²+y²
    r² = t²+ 1
    r = √(t²+1)
    sin x = y/r = 1/√(t²+1)

    cos 2x = 1- 2 sin² x
    cos 2x = 1 - 2 (1/(t² +1))
    cos 2x = 1- 2 /(t²+1)
    cos 2x = (t²+ 1 - 2)/(t² + 1)
    cos 2x = (t²- 1)/(t² + 1)

    11.  jarak Anak ke titik lepas balon =x = 20 m
    h(t)= 10t - t²
    maksimum jika h ' (t)= 0
    10- 2t= 0
    t = 5
    hmaksimum= h = 10(5)-(5)² = 50 - 25  =25 m

    jarak Anak ke balon= r
    r² = h²+ x²
    r² = 25²+ 20² = 1025
    r = √1025
    r= 5√41 m