Trig identity

  • Thread starter icystrike
  • Start date
  • #1
446
1

Homework Statement


k=[tex]\frac{1+sinx}{cosx}[/tex]
prove that [tex]\frac{1}{k}[/tex]=[tex]\frac{1-sinx}{cosx}[/tex]

thanks in advance:smile:

Homework Equations





The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution


i tried substitution of 1 with
cos^2(x)+sin^2(x) and
cosec^2(x)-cot^2(x) and
sec^2(x)-tan^2(x)

but im stucked agn..
 

Answers and Replies

  • #2
gabbagabbahey
Homework Helper
Gold Member
5,002
7
Start by inverting your expression for k to get: [tex]\frac{1}{k}=\frac{\cos x}{1+\sin x}[/tex] ...then multiply both your numerator and denominator by [itex](1- \sin x)[/itex] and simplify...what do you get?
 
  • #3
446
1
oh..yah.. thanks loads. i will get the answer!
 

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