SOLUTION: How do you solve these using trigonometric identities? (This is a fraction by the way): sec(x) + csc(x) ----------- ----- 1 + tan(x)

Algebra ->  Trigonometry-basics -> SOLUTION: How do you solve these using trigonometric identities? (This is a fraction by the way): sec(x) + csc(x) ----------- ----- 1 + tan(x)      Log On


   

Question 1155883: How do you solve these using trigonometric identities? (This is a fraction by the way):
sec(x) + csc(x)
-----------------
1 + tan(x)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%28sec%28x%29+%2B+csc%28x%29%29%2F%281+%2B+tan%28x%29%29


use identities:
sec%28x%29=1%2Fcos%28x%29
csc%28x%29=1%2Fsin%28x%29
tan%28x%29=sin%28x%29%2Fcos%28x%29
then, you have

%28sec%28x%29+%2B+csc%28x%29%29%2F%281+%2B+tan%28x%29%29

=%281%2Fcos%28x%29+%2B+1%2Fsin%28x%29%29%2F%281+%2Bsin%28x%29%2Fcos%28x%29%29

=

=

=


=cos%28x%29%2F%28sin%28x%29cos%28x%29%29

=cross%28cos%28x%29%29%2F%28sin%28x%29cross%28cos%28x%29%29%29

=1%2Fsin%28x%29

=csc%28x%29