# Trigonometry

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Tan x + sec x = 1

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

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#### 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.

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