Simplify Single Trigonometric function: tanx * cscx

Question

tanx * cscx 

Answer 1

Here are where your trigonometric identities come into play:

 

tan (x)=sin (x)/cos(x)

 

csc (x)=1/sin (x)

 

Now, just substitute these into the original problem.

 

(sin (x)/cos(x))*(1/sin (x))

 

The sin (x) cancel out and you are left with:

 

1/cos (x)

 

Which translates into (using trig. Identitites):

 

sec (x)