Question 1192561
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tan(45-theta)=-1 , in the interval 0 ≤x<360 -->solve.
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<pre>
You are given  {{{tan(45^o - theta)}}} = -1.


From it, you conclude that  

    45° - {{{theta}}} = 135°       (a)

or

    45° - {{{theta}}} = 315°       (b)



From (a),  you have  {{{theta}}} = 45° - 135° = -90°,  which geometrically is the same as  270°.


From (b),  you have  {{{theta}}} = 45° - 315° = -270°,  which geometrically is the same as  90°.


So, you conclude that the problem has two solutions:  {{{theta}}} = 90°  or  {{{theta}}} = 270°.    <U>ANSWER</U>
</pre>

Solved.