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Trigonometry

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how many solutions does the system {y = x, y = tan x have?

what is sec^-1 (sec-ð)?

  • Trigonometry - ,

    make a sketch of their graphs and see where they intersect.
    Here is one of the best websites for graphing ...
    http://rechneronline.de/function-graphs/

    enter:
    x for the first graph
    tan(x) for the second graph

    change "Range x-axis from" -20 to 20
    change "Range y-axis from" -50 to 50

    As you can see there will be an infinite number of solutions
    the obvious one is x=0
    the next one is
    another is appr 10.904
    check:
    y = x = 10.904
    y = tan(10.904) = 10.9

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