2Secpi/6+tanpi/6

Question

The book shows the final answer as Cospi/6+sinpi/6= 1 

 

when I reduce it I get stuck with 2cos6/pi+sinpi/6 = ?

Answer 1

Here is what I get:

 

π/6 is the smaller ∠ in a so-called 30-60 right triangle.

 

sec π/6 = 1/cos π/6 = 2/√3 and tan π/6 = 1/√3

 

2sec π/6 + tan π/6 = 4/√3 + 1/√3 = (5/3)√3

 

If you find a different answer, please let me know.

Answer 2

2 sec π/6 + tan π/6

 

Just the functions

 2 (1/cos) + sin / cos

2 / cos + sin /cos

(2 + sin) / cos