HELP
how do I solve this in proof form?
(1-sinx/cos)+(cosx/1/sinx)

Question

HELP
 how do I solve this in proof form?       
(1-sinx/cos)+(cosx/1/sinx)

anonymous · Answer

Is your question to solve this?
$$1-\frac{\sin{x}}{\cos{x}}+\frac{\cos{x}}{\frac{1}{\sin{x}}} = 0$$

anonymous · Answer

no its 1-sinx/cos)+(cosx/1/sinx) =2secx

anonymous · Answer

Can you write it out using the equation editor for clarity please?

anonymous · Answer

$$\frac{ 1-\sin x}{ cosx }+ \frac{ cosx }{ 1-sinx }= 2 secx$$

anonymous · Answer

First things first, can you see how rewriting secx might simplify the problem?

anonymous · Answer

it want's to know how to reach 2secx from the given equation

mathmale · Answer

Perhaps.  But almost all of this equation is in terms of sine and cosine.  Wouldn't it be helpful to convert that sec x to an equivalent form in terms of cos x?

myininaya · Answer

Compare the sides. You need to get from two terms to one term.
To do that combine the fractions by finding a common denominator