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Trig problems

  • Thread starter lionely
  • Start date
  • #1
576
2
tan 2θ= -1

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

ranging between -180 and 180
 
Last edited:

Answers and Replies

  • #2
Mentallic
Homework Helper
3,798
94
For what value of x does [itex]\tan(x)=-1[/itex] ?
 
  • #3
576
2
I believe -45
 
  • #4
237
5
deleted
 
Last edited:
  • #5
22,097
3,277
I believe -45
Is that the only value??
 
  • #6
576
2
Yes what are the possible values of theta and I'm sure, I haven't started working in radians at school as yet... =/
 
  • #7
Mentallic
Homework Helper
3,798
94
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 -180o and 180o?

And another thing, if tan(-45o)=-1 and we have that 2θ=-45o then what is θ?
 
  • #8
576
2
Theta would be -22.5 oh and I forgot to mention the question asked between -180 and 180 sorry.
 

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