## anonymous 4 years ago Find the smallest positive angle θ in the third quadrant for which tan(θ) = 1.

in third quadrant so answer should lie between pi to 3pi we know tan pi/4= 1 and tan (pi+theta)= tan theta so tan(pi+pi/4)=1 so snawer pi+pi/4= 5pi/4 $5 \pi/4$