myrkardgzz myrkardgzz
  • 11-11-2020
  • Mathematics
contestada

Solve Sec(2x)-4=0 for the first two positive solutions. thanks!

Respuesta :

LammettHash
LammettHash LammettHash
  • 11-11-2020

sec(2x) - 4 = 0

sec(2x) = 4

1 / cos(2x) = 4

cos(2x) = 1/4

2x = cos⁻¹(1/4) + 2nπ   or   2x = -cos⁻¹(1/4) + 2nπ

(where n is any integer)

x = 1/2 cos⁻¹(1/4) + nπ   or   x = -1/2 cos⁻¹(1/4) + nπ

The first two positive solutions occur for n = 0 in the first family of solutions, and for n = 1 in the second family, so

x = 1/2 cos⁻¹(1/4)   or   x = π - 1/2 cos⁻¹(1/4)

x ≈ 0.659   or   x ≈ 2.483

Answer Link

Otras preguntas

Which word best fills in the blank? The height of land above sea level is called altitude or O plateau O elevation Olatitude O direction
Which graph represents the linear equation below y+1=2/3(x-6)
Identify explicit formula for the sequence 3, 6, 9, 12, 15, ...
What is a tree? I’m graduated so my points are up for grabs cause I’ll never use them. I have to at least as a question with it though.
In the figure, angle A measures 38 degrees and angle D measures 26 degrees. What is the measurement of angle E?
Charlie took a nap. He fell asleep at 11:25 AM and he woke up at 3:12 PM. How long did he sleep?
Which of these would be least important to include in a summary of this article? A. Rodrigo learned to play piano in Temecula, California. B. Rodrigo's emotiona
What measurement could be the length of a pool?
What is the formula of Sodium Sulfide? A) Na3S₂ B) NaS₂ C) Na₂S D) Nas
hi folllow me at talfishmanfanpage09