Asked by Don
Use reduction identities to determine if the following statement is true or false:
tan (A-B) = tan (B-A)
Is this starement True or False ?
tan (A-B) = tan (B-A)
Is this starement True or False ?
Answers
Answered by
Reiny
easiest way:
let Ø be A-B, then B-A = -Ø
but we know tan (-Ø) = - tanØ
so tan(A-B) = tan(B-A) is false
or
LS = (tanA - tanB)/(1 + tanAtanB)
RS = (tanB-tanA)/(1+tanAtanB)
the LS is opposite the RS, not equal
let Ø be A-B, then B-A = -Ø
but we know tan (-Ø) = - tanØ
so tan(A-B) = tan(B-A) is false
or
LS = (tanA - tanB)/(1 + tanAtanB)
RS = (tanB-tanA)/(1+tanAtanB)
the LS is opposite the RS, not equal
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