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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 May 24, 2023, 1:34 pm ad1c9bdddf

    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.