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

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The discussion revolves around solving the equations (1/cos x) + tan x = 22/7 and (1/sin x) + (1/tan x) = m/n to find m+n. Participants emphasize the relationship between trigonometric functions, particularly noting that tan(x) equals sin(x)/cos(x). A suggested approach involves manipulating the first equation to isolate sin(x) and substituting it into the second equation. The conversation highlights the need for algebraic skills to simplify and solve the equations effectively. Ultimately, the goal is to express m and n in their simplest forms and calculate their sum.
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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
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You know how basic algebra works and that tan(x) = sin(x)/cos(x) right?
 
oh yeah ...!
but i didnit have an idea to solve this question ... i tried but ...
 
no one to help
 
\frac{1}{\cos{x}} + \tan{x} = \frac{1 + \sin{x}}{\cos{x}} = \frac{22}{7}
Now find \sin{x} = ?
Expand the second equation like above, substitude \sin{x} by the number you got above and you will see the answer.
Viet Dao,
 
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