Matematika

Pertanyaan

Mohon dibantu yaa :) besok dikumpul :") please!!! tolongin dede kak!!! bantuin dong :"
Mohon dibantu yaa :) besok dikumpul :) please!!! tolongin dede kak!!! bantuin dong :

1 Jawaban

  • sin x = 4/5
    (cos x)^2 = 1 - (sin x)^2
    (cos x)^2 = 1 - (4/5)^2
    (cos x)^2 = 1 - 16/25
    (cos x)^2 = 9/25
    cos x = √(9/25) = 3/5
    cos 2x = 2cos^2 x -1
    = 2(3/5)^2 - 1
    = 18/25 - 1
    = - 7/25
    sin 2x = 2sin x cos x
    = 2.(4/5)(3/5)
    = 24/25
    tan 2x = sin 2x / cos 2x
    = (24/25)/(-7/25)
    = -24/7
    2) tan a = 1/2
    tan 2a = 2 tan a /(1-tan^2 a)
    = 2.1/2 /(1 - 1/2^2)
    = 1 / (1-1/4)
    = 1 / (3/4)
    = 4/3
    tan b = 1/3
    tan 2b = 2tan b /(1-tan^2 b)
    = 2.1/3 /(1- 1/3^2)
    = 2/3 / (1 - 1/9)
    = 2/3 /(8/9)
    = 3/4
    3) tan b = 3/4
    tan 2b = 2tan b /(1-tan^2 b)
    = 2.3/4 /(1-3/4^2)
    = 6/4/(1-9/16)
    = 3/2(7/16)
    = 21/32
    tan 4b = 2tan 2b / (1- tan^2 2b)
    = 2.21/34 /(1-21/34^2)
    = 42/34 /(1- silahkan lanjutkan...!