Solving a trignometric equation.

[Matriculator]

Homework Statement

Hello, I'm having some trouble with this: 3cosX+4sinX=2.

Homework Equations

The Attempt at a Solution

It's one of those problems where I've no idea of where to start. Could I possibly subtract 4sinX from both sides to get 3cosX=2-4sinX? And divide both sides by 3 to get cosX=(2-4sinX)/3? If this is right, it's from this point on that I'm confused. Thank you. The other problems were a bit simpler. 2 people, both Calculus tutors, couldn't help me on it.

 

[Saitama]

Homework Statement

Hello, I'm having some trouble with this: 3cosX+4sinX=2.

Homework Equations

The Attempt at a Solution

It's one of those problems where I've no idea of where to start. Could I possibly subtract 4sinX from both sides to get 3cosX=2-4sinX? And divide both sides by 3 to get cosX=(2-4sinX)/3? If this is right, it's from this point on that I'm confused. Thank you. The other problems were a bit simpler. 2 people, both Calculus tutors, couldn't help me on it.

Try to convert it in a form cosXsinθ+sinXcosθ=k which you can then rewrite to the form sin(θ+X)=k.

 

[Matriculator]

Try to convert it in a form cosXsinθ+sinXcosθ=k which you can then rewrite to the form sin(θ+X)=k.

Oh, yep I see. Thank you. It's kind of late here, I'm going to bed, but I'll try it tomorrow morning. I remember my teacher showing us something like this.