When tan theta =-1 what is the value of theta .How to find that

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Solution

We know that
tan theta = 1
when theta =45
now we need to find in which quadrent tan is negative
Remember ASTC
(1st - All positive
2nd- Sin positive
3rd- Tan positive
4th - Cos positive )

so tan is negative in 2nd and 4th quadrant
in second quadrant angle is 90+45=135
in 4th quadrant angle is 360-45=315
so tan theta=-1 if
theta= 135 or 315

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