bewellplus.gsu.edu
noha158 noha158
  • 28-09-2016
  • Mathematics
Answered

if sin x= 1/3 and sec y= 5/4 where x and y lie between 0 and pi/2, evaluate sin(x-y)

Verified Answer :

Panoyin
Panoyin Panoyin
  • 28-09-2016

sin(x) = ¹/₃
sin⁻¹[sin(x)] = sin⁻¹(¹/₃)
                x ≈ 0.34°
                x = ¹⁷/₉₀₀₀π

   sec(y) = 1¹/₄
           1 = 1¹/₄cos(y)
         ⁴/₅ = cos(y)
cos⁻¹(⁴/₅) = cos⁻¹[cos(y)] 
     0.64 ≈ y
    ⁴/₁₁₂₅π = y

sin(x - y) = sin(¹⁷/₉₀₀₀π - ⁴/₁₁₂₅π)
sin(x - y) = sin(⁻¹/₆₀₀π)
sin(x - y) = -sin(¹/₆₀₀π)
sin(x - y) = -sin(³/₁₀)
sin(x - y) ≈ -0.3

Answer Link

Related Questions

The correct order of historical eras is the following Paleolithic Neolithic Bronze true false
Grassroots organizations such as the Sierra Club represent political partys interests at the local level a True b False
Which parts of this excerpt from ozymandias by percy shelley reflect the theme that art alone can last forever
one gallon is equal to how many cups
Simplify fully 2x25x3 x25x6
Organs combine to form
who determines candidates in irans elections
You have been appointed to a health education team at your school Your job is to develop the criteria for the health information you will be sharing with studen
A field whose data type is can store an OLE object which is an object linked to or embedded in the table
What problems did medieval towns face How did medieval Europeans attempt to deal with those problems How did an independent judiciary and common law in England