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    Trigonometry

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    Tan x + sec x = 1

    Solve equation for 0 less than or equal to X less than 2 pi

    © BrainMass Inc. brainmass.com March 4, 2021, 6:03 pm ad1c9bdddf
    https://brainmass.com/math/trigonometry/trigonometry-26708

    Solution Preview

    sin(x)/cos(x)+ 1/cos(x)= 1 ---> (1+ sin(x))/cos(x)= 1 ---> 1+ sin(x)= cos(x) (Assuming that cos(x) is not zero)

    We know that sin(x)= 2sin(x/2)cos(x/2) and cos(x)= 1- 2[sin(x/2)]^2. Therefore:

    1+ 2sin(x/2)cos(x/2)= 1- ...

    Solution Summary

    This shows how to solve a trigonometric equation in a given interval.

    $2.19

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