What is #\tan ( - 135^ { \circ } )#?
2 Answers
Mar 23, 2017
# tan(-135^o) = 1 #
Explanation:
We can use the identity;
# tan(A-B)=(tanA-tanB)/(1+tanAtanB) #
Along with the known results;
# tan45^0 \ \ = 1 #
# tan180^0 = 0 #
Consider:
# tan(-135^o) = tan(45^o-180^o) #
# " " = (tan45^o-tan180^o) / ( 1+tan45^otan180^o)#
# " " = (1-0) / ( 1+1*0)#
# " " = 1#
Mar 24, 2017
1
Explanation:
On the trig unit circle,
tan (-135) = tan (45 - 180) = tan (45) = 1
