SOLUTION: Find the general solutions (in radians) of the following equations: 3 cot (3𝑥 +𝜋/4) = √3

Algebra ->  Trigonometry-basics -> SOLUTION: Find the general solutions (in radians) of the following equations: 3 cot (3𝑥 +𝜋/4) = √3      Log On


   

Question 1204389: Find the general solutions (in radians) of the following equations:
3 cot (3𝑥 +𝜋/4) = √3
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

3cot%283x+%2Bpi%2F4%29+=+sqrt%283%29

cot+%283x+%2Bpi%2F4%29+=+sqrt%283%29%2F3

since cot%28x%29=+sqrt%283%29%2F3+=> x+=pi%2A+n+%2Bpi%2F3,+n+element Z

then
3x+%2Bpi%2F4+=pi%2A+n+%2Bpi%2F3.....solve for x
3x+=pi%2A+n+%2Bpi%2F3-pi%2F4+
3x+=pi%2An+%2B+pi%2F12
x+=pi%2An+%2F3%2B+%28pi%2F12%29%2F3
x+=pi%2An+%2F3%2B+pi%2F36


Answer by ikleyn(52943) About Me  (Show Source):
You can put this solution on YOUR website!
.


I just solved this problem couple of days ago under this link

https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1204329.html


@Mathlover1 simply repeated that my solution here again under her own name, as she loves to do.