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

Need some help on this
How do you turn a proportionality between variables into an equation?
The function f(x)=x^5 + (x+3)^2
Which statements describe the focus of an earthquake
Identify a law that you believe is “bad” or “unfair” and explain why you think so
An elevator started on the first floor and went up 18 floors. It then comes down 11 floors and went back up 16 floos. At what floor did this stop.
what different types of evidence anna quindlen use to support her claim
Five cats each ate 1/4 cup of cat food. How much food did the five cats eat?
how is the composition of function related to the order of operations
Which of the following georges seurat use the elements of art in his painting A. He used colors with low saturation B. His shapes are mostly geometric C.He impl