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.
lucky_star
Messages
33
Reaction score
0

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,
 
Physics news on Phys.org
Never mind. I found out the correct answer. I am sorry if I bother you.
 

Thread 'Finding the number of ways to arrange identical balls in a circle (3 different colors)'

I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
View full post »

Thread 'Making the denominator of a certain fraction real'

Essentially I just have this problem that I'm stuck on, on a sheet about complex numbers: Show that, for ##|r|<1,## $$1+r\cos(x)+r^2\cos(2x)+r^3\cos(3x)...=\frac{1-r\cos(x)}{1-2r\cos(x)+r^2}$$ My first thought was to express it as a geometric series, where the real part of the sum of the series would be the series you see above: $$1+re^{ix}+r^2e^{2ix}+r^3e^{3ix}...$$ The sum of this series is just: $$\frac{(re^{ix})^n-1}{re^{ix} - 1}$$ I'm having some trouble trying to figure out what to...
View full post »

Similar threads

State the exact values of all the trigonometric rations for theta.
Replies
12
Views
2K
Inverse trigonometric functions
Replies
6
Views
2K
Trigonometric equation solving 2cos x=tan x
Replies
6
Views
3K
Half Angle Formula for Tangent
Replies
15
Views
3K
Proof of an inverse trigonometric identity
Replies
6
Views
2K
Help Simplifying a Trig Expression
Replies
10
Views
2K
Verify the Trigonometric Identity
Replies
15
Views
2K
Problem in finding the General Solution of a Trigonometric Equation v3
Replies
7
Views
2K
Simple trigonometric simplification
Replies
2
Views
1K
A problem in finding the General Solution of a Trigonometric Equation
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top