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

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown. R (1, 1) S (3, 1) T (1, 6) R' (–1, –1) S' (–3, –1)
Water can remain in the ground as groundwater for up to 10,000 years. this is called the __________.
A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road, (x2 + 3)
Suggest reasons why poaching for subsistence is likely to be less damaging to the biodiversity of an area than poaching for profit
Which statement is true about an effective counterclaim? It strengthens your argument. It strengthens your opponent's argument. It is presented in an introdu
You get lost and need shelter. what should you do first?
PLEASE HELP QUICK I AM IN A RUSH
12-3(10+2^3)÷9×(-2)=?
Jim Crow laws were forced upon minorities at the end of Reconstruction by what means? 1.the desegregation of all public facilities 2.making it almost impossible
The volume of 100 drops of a liquid is 0.1 fluid ounce. What is the volume of 10,000 drops?