Trigonometric equations having + - pattern












0












$begingroup$


How to solve trigonometric equations by just looking at the form...



For e.g., proving $$cos A - sin A + dfrac {1}{cos A + sin A} - 1 = csc A + cot A$$



First of all I know the LHS is in basic T-ratio so I don't need to convert them but if I divide LHS by $cos A$ it changes to $tan A$ and $csc A$. How do I solve questions like these which have + - pattern?



Although I did it but I want to do some other way as well.










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  • 2




    $begingroup$
    Please reformat your equations with MathJax so that we know exactly what you're talking about in the equations (mainly the division)
    $endgroup$
    – Matti P.
    Jan 3 at 8:05










  • $begingroup$
    math.stackexchange.com/questions/426981/…
    $endgroup$
    – lab bhattacharjee
    Jan 3 at 8:10










  • $begingroup$
    Please check this link to learn how to use MathJax.
    $endgroup$
    – KM101
    Jan 3 at 8:20
















0












$begingroup$


How to solve trigonometric equations by just looking at the form...



For e.g., proving $$cos A - sin A + dfrac {1}{cos A + sin A} - 1 = csc A + cot A$$



First of all I know the LHS is in basic T-ratio so I don't need to convert them but if I divide LHS by $cos A$ it changes to $tan A$ and $csc A$. How do I solve questions like these which have + - pattern?



Although I did it but I want to do some other way as well.










share|cite|improve this question











$endgroup$








  • 2




    $begingroup$
    Please reformat your equations with MathJax so that we know exactly what you're talking about in the equations (mainly the division)
    $endgroup$
    – Matti P.
    Jan 3 at 8:05










  • $begingroup$
    math.stackexchange.com/questions/426981/…
    $endgroup$
    – lab bhattacharjee
    Jan 3 at 8:10










  • $begingroup$
    Please check this link to learn how to use MathJax.
    $endgroup$
    – KM101
    Jan 3 at 8:20














0












0








0





$begingroup$


How to solve trigonometric equations by just looking at the form...



For e.g., proving $$cos A - sin A + dfrac {1}{cos A + sin A} - 1 = csc A + cot A$$



First of all I know the LHS is in basic T-ratio so I don't need to convert them but if I divide LHS by $cos A$ it changes to $tan A$ and $csc A$. How do I solve questions like these which have + - pattern?



Although I did it but I want to do some other way as well.










share|cite|improve this question











$endgroup$




How to solve trigonometric equations by just looking at the form...



For e.g., proving $$cos A - sin A + dfrac {1}{cos A + sin A} - 1 = csc A + cot A$$



First of all I know the LHS is in basic T-ratio so I don't need to convert them but if I divide LHS by $cos A$ it changes to $tan A$ and $csc A$. How do I solve questions like these which have + - pattern?



Although I did it but I want to do some other way as well.







trigonometry






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 3 at 11:46









bjcolby15

1,1961916




1,1961916










asked Jan 3 at 8:02









Madiha NazirMadiha Nazir

1




1








  • 2




    $begingroup$
    Please reformat your equations with MathJax so that we know exactly what you're talking about in the equations (mainly the division)
    $endgroup$
    – Matti P.
    Jan 3 at 8:05










  • $begingroup$
    math.stackexchange.com/questions/426981/…
    $endgroup$
    – lab bhattacharjee
    Jan 3 at 8:10










  • $begingroup$
    Please check this link to learn how to use MathJax.
    $endgroup$
    – KM101
    Jan 3 at 8:20














  • 2




    $begingroup$
    Please reformat your equations with MathJax so that we know exactly what you're talking about in the equations (mainly the division)
    $endgroup$
    – Matti P.
    Jan 3 at 8:05










  • $begingroup$
    math.stackexchange.com/questions/426981/…
    $endgroup$
    – lab bhattacharjee
    Jan 3 at 8:10










  • $begingroup$
    Please check this link to learn how to use MathJax.
    $endgroup$
    – KM101
    Jan 3 at 8:20








2




2




$begingroup$
Please reformat your equations with MathJax so that we know exactly what you're talking about in the equations (mainly the division)
$endgroup$
– Matti P.
Jan 3 at 8:05




$begingroup$
Please reformat your equations with MathJax so that we know exactly what you're talking about in the equations (mainly the division)
$endgroup$
– Matti P.
Jan 3 at 8:05












$begingroup$
math.stackexchange.com/questions/426981/…
$endgroup$
– lab bhattacharjee
Jan 3 at 8:10




$begingroup$
math.stackexchange.com/questions/426981/…
$endgroup$
– lab bhattacharjee
Jan 3 at 8:10












$begingroup$
Please check this link to learn how to use MathJax.
$endgroup$
– KM101
Jan 3 at 8:20




$begingroup$
Please check this link to learn how to use MathJax.
$endgroup$
– KM101
Jan 3 at 8:20










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