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

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Homework Help Overview

The problem involves trigonometric identities and equations, specifically relating to the expressions (1/cos x) + tan x and (1/sin x) + (1/tan x). The goal is to find the values of m and n in the simplest form from the second equation.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between trigonometric functions and attempt to manipulate the given equations. There is a focus on expressing tan x in terms of sin x and cos x, and some participants express uncertainty about how to proceed with the problem.

Discussion Status

Some guidance has been offered regarding the manipulation of the first equation to find sin x, and there is an indication that substituting this value into the second equation may lead to a solution. However, multiple interpretations of the problem are being explored without explicit consensus.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the extent of assistance they can provide to one another.

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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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Last edited:
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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
 
[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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