Question

perhatikan segitiga x y di samping. nilai tan x - y adalah... ​

Answer 1

Penjelasan dengan langkah-langkah:

alas = √(5² - 3²)

= √(25 - 9)

= √16

= 4

sin x = depan / miring

= 3/5

cos x = samping / miring

= 4/5

sin y = depan / miring

= 4/5

cos y = samping / miring

= 3/5

sin (x - y) = sin x cos y - cos x sin y

= (3/5)(3/5) - (4/5)(4/5)

= 9/25 - 16/25

= -7/25

cos (x - y) = cos x cos y + sin x sin y

= (4/5)(3/5) + (3/5)(4/5)

= 12/25 + 12/25

= 24/25

tan (x-y) = sin (x - y) / cos (x - y)

= (-7/25) / (24/25)

= -7/25 x 25/24

= -7/24 (e)