SOLUTION: If the following equation is given, what is the value of sec(x)? {{{ (cotx)/(tanx)-(cscx)/(sinx)=2/(secx) }}}

Algebra ->  Trigonometry-basics -> SOLUTION: If the following equation is given, what is the value of sec(x)? {{{ (cotx)/(tanx)-(cscx)/(sinx)=2/(secx) }}}      Log On


   

Question 1014378: If the following equation is given, what is the value of sec(x)?
+%28cotx%29%2F%28tanx%29-%28cscx%29%2F%28sinx%29=2%2F%28secx%29+
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
This is identical to question 1013471 done a few days ago.

Apply the definitions and simplify from that. You want to begin with everything in sines and cosines first before going through other steps.

ANSWER: highlight%28sec%28x%29=-2%29


(The text to show the steps are difficult to type and then place here).
Note that you will find the need in one of the later steps that from cos%5E2%28x%29%2Bsin%5E2%28x%29=1, you will use sin%5E2%28x%29=-1%2A%28cos%5E2%28x%29-1%29.

You may be able to manage your own good steps based on that.