Simplify trigonometric equation problem

AI Thread Summary
The discussion focuses on simplifying trigonometric equations by expressing functions in terms of t. The user initially states that sec(t + 2π) equals sec(t) and that 1 + tan(t + 3π) equals 1 + tan(t). They inquire whether csc(t - 6π) is equal to csc(t). Ultimately, the user resolves their query independently and apologizes for any inconvenience caused. The thread highlights the periodic properties of trigonometric functions in simplification.
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Homework Statement


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

nqpn43.jpg


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,
 
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