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Given (1/cos x)+tan x=22/7 , (1/sin x)+(1/tan x) = m/n, find m+n

  1. Mar 10, 2005 #1
    help needed....
    (1/cos x) + tan x = 22/7 , (1/sin x) +(1/tan x) = m/n , where m and n in the simplest form .. find m+n
    thanks in advance
    no name
    Last edited: Mar 10, 2005
  2. jcsd
  3. Mar 10, 2005 #2


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    You know how basic algebra works and that tan(x) = sin(x)/cos(x) right?
  4. Mar 11, 2005 #3
    oh yeah .....!!!!
    but i didnit have an idea to solve this question .... i tried but ....
  5. Mar 11, 2005 #4
    no one to help
  6. Mar 11, 2005 #5


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    [itex]\frac{1}{\cos{x}} + \tan{x} = \frac{1 + \sin{x}}{\cos{x}} = \frac{22}{7}[/itex]
    Now find [itex]\sin{x} = ?[/itex]
    Expand the second equation like above, substitude [itex]\sin{x}[/itex] by the number you got above and you will see the answer.
    Viet Dao,
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