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Math Help - what is the angle of a triangle when tan = -1

  1. #1
    Senior Member sakonpure6's Avatar
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    what is the angle of a triangle when tan = -1

    what is the angle of a right triangle when tan = -1? Any help is really appreciated

    Edit: I solved it! Theta = 315 and 135 degrees!

    BUT, now the problem is, when is sin an angle = -1 . I got angle = 270 degrees and ____________ (angle is greater than or equal to 0 and smaller or equal to 360 degrees)
    Last edited by sakonpure6; November 14th 2012 at 02:23 PM.
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  2. #2
    Senior Member MacstersUndead's Avatar
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    Re: what is the angle of a triangle when tan = -1

    Let your unknown angle be x and consider the domain 0 \leq x \leq 360 degrees. (otherwise we have an infinite amount of solutions)
    For sin(x) = -1 there is only one solution, 270 degrees, on the domain I specified. If I didn't specify a domain the solution would be x + 360n, where n is an integer

    Have you learned the unit circle?
    Thanks from sakonpure6
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    Senior Member sakonpure6's Avatar
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    Re: what is the angle of a triangle when tan = -1

    Quote Originally Posted by MacstersUndead View Post
    Let your unknown angle be x and consider the domain 0 \leq x \leq 360 degrees. (otherwise we have an infinite amount of solutions)
    For sin(x) = -1 there is only one solution, 270 degrees, on the domain I specified. If I didn't specify a domain the solution would be x + 360n, where n is an integer

    Have you learned the unit circle?
    yea i have and thank you for the the answer because I was only able to come up with 270 degrees with the domain u specified.
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