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Math Help - exact values

  1. #1
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    exact values

    I am struggling today with my homework,

    Find the Exact values of Tan 165 degrees ( 165 is the sum of two special angles) that is 135 degress and 30 degrees

    Ok for far i have

    Tan ((-Sqrt2)/2+(sqrt3)/2)=((Tan -Sqrt2/2) + (Tan sqrt3/2))/1 +(Tan -sqrt2/2)(tan Sqrt3/2)


    135 is in the 2nd quadrant and tan is negative so it will be -Sqrt2/2 and 30 degrees is a 1st quadrant angle and tan is positive so its sqrt3/2

    and now im stuck on this problem
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  2. #2
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    Quote Originally Posted by NoAsherelol View Post
    I am struggling today with my homework,

    Find the Exact values of Tan 165 degrees ( 165 is the sum of two special angles) that is 135 degress and 30 degrees
    \tan{165^{\circ}}=\tan{(135+30)^{\circ}}=\frac{\ta  n{135^{\circ}}+\tan{30^{\circ}}}{1-\tan{135^{\circ}}\tan{30^{\circ}}}

    And \tan{135^\circ}=\tan{(90+45)^\circ}=-\tan{45^\circ}. You should be able to continue from here.
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  3. #3
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    Quote Originally Posted by algebraic topology View Post
    \tan{165^{\circ}}=\tan{(135+30)^{\circ}}=\frac{\ta  n{135^{\circ}}+\tan{30^{\circ}}}{1-\tan{135^{\circ}}\tan{30^{\circ}}}

    And \tan{135^\circ}=\tan{(90+45)^\circ}=-\tan{45^\circ}. You should be able to continue from here.
    Alternatively, tan(165) = - tan(15) = - tan(45 - 30) .....
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