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

Describe a hominid???????
Which of the following expressions could you use to estimate 47% of 89? 1/2 x 90 0.5 x 90 0.47 x 89 90/2
the house of representative has special power
In "Kaddo's Wall," why does Kaddo go to see Sogole in the land of Ganna?
how to simplify 81 1/2
Bethany walks on the treadmill at least four times per week to maintain her cardiovascular health. Lately, she has been finding excuses not to exercise and is
Computers store temporary Internet files in the Recycle Bin. These files take up space and slow down a computer. Which tool can be used to remove these unwanted
why is 24 a more convenient choice than 23 or 25
the house of representative has special power
Which type of compound dissociates?