Mathematics: Find all solutions in the interval [0, 2π). cos x = sin x

72.25 ftStep-by-step explanation:The function that models the height of the ball is The maximum height occurs at:We substitute t=2.125 to get:The maximum height is 72.25 feet...

Find all solutions in the interval [0, 2π). cos

Ответ:

roger93

18.01.2022

Mathematics

Cos x = Sin x

Sin x = Cos x
Sin x / Cos x = Cos x/ Cos x
Tan x = 1
tan(45) = 1

tan Θ = y/x ;

x = π/4 ; 5π/4

Using the unit circle for cos x = sin x
sin Θ = y
cos Θ = x

x = y
⇒ π/4 or 45° ⇒ (√2/2 , √2/2)
⇒ 5π/4 or 225° ⇒ (-√2/2 , -√2/2)