+-2npi OR +-npi How do you know which one to attach?

[solve]

Homework Statement

a. tan4x=1

If tanTheta=1, then Theta=pi/4+-npi radians.

4x=pi/4+-npi

x=pi/16+-npi/4

b. sin(x+2pi)+sin(x-2pi)=1/2

sinxcos2pi+cosxsin2pi+sinxcos2pi-sin2picosx=1/2

2sinxcos2pi=1/2

sinxcos2pi=1/4

sinx=1/4

arcsin(1/4)=0.2526+-2npi

Homework Equations

The Attempt at a Solution

So how do you know which one to attach +-npi or +-2npi? I have a slight suspicion that it might be due to periods of trig functions, but I don't trust myself when it comes to math.

Thanks.

 

[ehild]

What is the period of the tangent function, and what is the period of the sine and the cosine functions?

ehild

 

[solve]

What is the period of the tangent function, and what is the period of the sine and the cosine functions?

ehild

The tangent function repeats itself every pi and sine cosine functions repeat every 2pi?

 

[ehild]

Yes, correct.

ehild

 

[solve]

Thank You, Ehild.

 

[ehild]

Thank You, Ehild.

You are welcome.

ehild