What is the general solution to the equation \sin x+\sqrt 3 \cos x=\sqrt 2 I need to find

Cheexorgeny

Cheexorgeny

Answered question

2022-01-16

What is the general solution to the equation sinx+3cosx=2
I need to find the general solution to the equation
sinx+3cosx=2
So I went ahead and divided by 2, thus getting the form
cos(xπ6)=cos(π4)
Thus the general solution to this would be
x=2nπ±π4+π6
Which simplifies out to be,
x=2nπ+5π12
x=2nππ12

Answer & Explanation

Karen Robbins

Karen Robbins

Beginner2022-01-17Added 49 answers

As Kavi Rama Murthys

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?