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Roger
Roger asked in Science & MathematicsMathematics · 12 months ago

Solve each equation on the interval [0,2pi)?

tan(3x)=-1 

Can you show your steps too so that I can understand? Thanks

3 Answers

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  • ted s
    Lv 7
    12 months ago

    tan 3x = - 1 ===> 3x = - π / 4 + nπ ===> x = - π / 12 + 4nπ / 12 for n =1,2,3,4,5,6....n = 6 is 23/12 π

  • rotchm
    Lv 7
    12 months ago

    Ask yourself, tan(of_what) gives -1 ? This, you should know, or imagine your trig circle. Your asnwer will follow. 

  • ?
    Lv 7
    12 months ago

    tan(3π/4) = tan(7π/4) = -1

    x = π/4, 7π/12

    Source(s): https://www.flickr.com/photos/dwread/41116035450/i...
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