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

Which major American rights are available to people living in U. S. territories? Choose all answers that are correct.1.participating in elections for their gov
5 ways to prevent mass movement
What is the answer ((14+3)+(20÷2)2)+5
Find the value of x in each case:
Although carefully monitored, the toddler still managed to defoliate the plant. * O compound O complex O simple O compound-complex
Solve for "x" 8.4 over x = 7/5 What does x equal
Which of the following statements best captures John Quincy Adams's interpretation of South Carolina Senator John Calhoun's arguments in favor of slavery?
Find the volume. Round to the nearest tenth. 20m 5 m 18 m
Which type of study best describes the following research most likely to be done? A researcher is wanting to research the after effects of plant growth after a
In which quadrant does the point (16, 21) lie?