Simplify and write the trigonometric expression in terms of sine and cosine: tan x csc x =1/(f(x))

Question

Simplify and write the trigonometric expression in terms of sine and cosine: tan x csc x =1/(f(x))

f(x)=???

Answer 1

Use your trig identities.

 

tanxcscx = (sinx /cosx) * (1 / sinx)

 

             = 1 / cos(x)

 

 

f(x) = cos(x)