Asked by Dangdang
Transform
arctan x + arctan y = pi/4 into algebraic expression
A) x+xy-y = 1
B) x-xy-y = 1
C) x+xy+y = 1
D) x-xy+y = 1
Plsss help
arctan x + arctan y = pi/4 into algebraic expression
A) x+xy-y = 1
B) x-xy-y = 1
C) x+xy+y = 1
D) x-xy+y = 1
Plsss help
Answers
Answered by
Steve
using the sum of tangents formula,
tan(arctan x + arctan y)
=
tan(arctanx)+tan(arctany)
----------------------------- = tan(pi/4)
1 - tan(arctanx)-tan(arctany)
(x+y)/(1-xy) = 1
x+y = 1-xy
x+xy+y = 1
tan(arctan x + arctan y)
=
tan(arctanx)+tan(arctany)
----------------------------- = tan(pi/4)
1 - tan(arctanx)-tan(arctany)
(x+y)/(1-xy) = 1
x+y = 1-xy
x+xy+y = 1
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