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RonnyDeKoning

  • 3 years ago

I a making an ex: and see this: tan x = -1 <=> - tan x (pi/4) Why is the - before tan?

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  1. muhammad9t5
    • 3 years ago
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    for x?

  2. RonnyDeKoning
    • 3 years ago
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    - tan x (pi/4) why is is not tan (-pi/4)

  3. ZeHanz
    • 3 years ago
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    It could just as well be tan (-pi/4), because tan is an uneven function: f(-x) = -f(x) for all x in the domain of f. I guess the reason -tan(pi/4) is used because you are supposed to know by heart that tan(pi/4) = 1. So we have: tan(x) = -1 <=> -tan(x) = 1 <=> tan(-x) = 1 <=> tan(-x) = tan(pi/4 + k*pi) <=> -x = pi/4 + k*pi <=> x = -pi/4 - k*pi which is the same as x = -pi/4 + k*pi, because k is any integer. Hope this helps... ZeHanz

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