Simplify trigonometric equation problem

[lucky_star]

Homework Statement

Simplify the following. Write all trigonometric
functions in terms of t.

Homework Equations

The Attempt at a Solution

I know that:
sec(t+2pi)=sec(t)

1+tan(t+3$$\pi$$)= 1+tan(t)

What about: csc(t-6$$\pi$$)? Will it be equal to csc(t).
Can anyone please help me with this? Thank you in advance!

Sincerely yours,

 

[lucky_star]

Never mind. I found out the correct answer. I am sorry if I bother you.