De6j6ascanorses
De6j6ascanorses De6j6ascanorses
  • 02-09-2016
  • Mathematics
contestada

Suppose sin(β) = 1/9. Find the exact value of sec(β) for 0 < β

Respuesta :

HomertheGenius
HomertheGenius HomertheGenius
  • 11-09-2016
sin β = 1/9
sec β = 1/cos β
[tex]cos \beta = \sqrt{1-( \frac{1}{9}) ^{2}} = \\ \sqrt{ \frac{80}{81} } = \\ \frac{4 \sqrt{5} }{9} [/tex]
[tex]sec \beta = \frac{1}{ \frac{4 \sqrt{5} }{9} } = \frac{9}{4 \sqrt{5} }= \frac{9 \sqrt{5} }{20} [/tex]
sec β = 1.00623


Answer Link

Otras preguntas

Rob has 5 blue sweaters. Write a fraction that represents the number of blue sweaters that rob has?
If their is a right triangle does that mean there is left triangle ?
WHY DOES JACKSON THINK HE HAS THE RIGHT TO DECIDE IF THE BANK BILL IS CONSTITUTIONAL
would an astronomor use x-ray tech.
Plz help I need help I don't under stand help on the hole page plzz
Juan made a design with polygons. which polygon in juan's design is pentagon
Read this excerpt from President John F. Kennedy’s inaugural address on January 20, 1961: In the long history of the world, only a few generations have been gra
Ethan wants to predict who will be selected as the eighth-grade class president. Which of the following groups should Ethan survey to make his prediction? One
How can you use earthquake and volcano data to map the earths plates?
What practice in large part caused the stock market crash, sparking the Great Depression of the 1930s? A. banks purchasing a combination of stocks, bonds, an