Question
please help me.
use trig. identities to find the exact value.
tan 25° + tan 5° / 1- tan 25° tan 5°
use trig. identities to find the exact value.
tan 25° + tan 5° / 1- tan 25° tan 5°
Answers
Reiny
recall
tan(A+B) = (tanA + tanB)/(1 - tanAtanB)
I believe you meant to type
(tan 25° + tan 5°) /( 1- tan 25° tan 5°)
now it fits the above pattern and it equals
tan(25+5) = tan 30°
from my 30-60-90 triangle I know that
tan 30° = 1/√3 or √3/3
tan(A+B) = (tanA + tanB)/(1 - tanAtanB)
I believe you meant to type
(tan 25° + tan 5°) /( 1- tan 25° tan 5°)
now it fits the above pattern and it equals
tan(25+5) = tan 30°
from my 30-60-90 triangle I know that
tan 30° = 1/√3 or √3/3