Tan 2θ: Solutions between -180 and 180".

[lionely]

tan 2θ= -1

I don't understand how to work this question could someone walk me through it?

ranging between -180 and 180

 

[Mentallic]

For what value of x does $\tan(x)=-1$ ?

 

[lionely]

I believe -45

 

[skiller]

deleted

 

[micromass]

I believe -45

Is that the only value??

 

[lionely]

Yes what are the possible values of theta and I'm sure, I haven't started working in radians at school as yet... =/

 

[Mentallic]

Yes what are the possible values of theta and I'm sure, I haven't started working in radians at school as yet... =/

Ok so you know that there are infinitely many solutions to tan(x)=-1 right? Because just like how the sin and cos graphs go on forever, the tan function does as well. Anyway, are you expected to find all the solution for θ between -180^o and 180^o?

And another thing, if tan(-45^o)=-1 and we have that 2θ=-45^o then what is θ?

 

[lionely]

Theta would be -22.5 oh and I forgot to mention the question asked between -180 and 180 sorry.