YellowRabbit
YellowRabbit YellowRabbit
  • 03-07-2017
  • Mathematics
contestada

Find all solutions to the equation.

7 sin^2x - 14 sin x + 2 = -5

Respuesta :

Floki22
Floki22 Floki22
  • 03-07-2017
7 sin^2x - 14 sinx + 2 = -5

7 sin^2x - 14 sinx = -7

(÷ 7)

sin^2x - 2 sinx = -1

(sinx = y)

y^2 - 2y = -1

y^2 - 2y + 1 = 0

Δ = (-2)² - 4(1)(1)
Δ = 4 - 4 = 0

y' = y'' = (2+0)/2 = 2/2 = 1

sinx = y

sinx = 1

S { π/2 }
Answer Link

Otras preguntas

In the book To Kill a Mockingbird, According to Atticus, why don't blacks get a fair deal in court? Why are jurors always from the countryside and not the town?
Choose the simple predicate in the following sentence. The men finished the game in a short time. A. finished B. game C. men D. time
what is the packaging of the milka chocolate made from?
what is 54÷6+2×(8-3×4)? show work
What did Theodore Roosevelt often see as his greatest accomplishment as President?
y+2=x (tell whether x and y show direct variation)
Match the form of the verb with the sentence. Mon oncle _____ cinq enfants. Nous ______ sept euros. Mes cousins n’ ____ pas faim. J’ ______ sommeil. A)
why would the church and religious life have had such great appeal at this point in history
which pair of words are synonyms
The _______ in plants is directly responsible for absorbing light energy. a. stroma b. thylakoid c. grana d. chlorophyll