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

observation often starts the scientific process observation is useful because it helps scientist_____ a) form questions b) develop opinions c) summarize data
What is (10+y)^2-y^2=3x+12 in standard form?
a grain of sand has a diameter of 0.049 millimeters how do I write that in words
A mountain climber climbed down a cliff 50 feet at a time.he did this 5 times in one day.what was the overall change in his elevation?
Joe has 350 square paving stones. he plans to construct a square patio. what are the dimensions of the largest patio joe can build
When did michigan state win the rose bowl?
Which African American leader joined, and then left the Communist Party?
Write an equation for a linear function whose graph has the given characteristics. Passes through (42,0), perpendicular to the graph of g(x)=6x+2 f(x)=
A mountain climber climbed down a cliff 50 feet at a time.he did this 5 times in one day.what was the overall change in his elevation?
The sum of two numbers is 55 and the difference is 1 . What are the numbers?