Find the exact value of the expression. ( tan25^(circ) +tan110^(circ))/(1-tan25^(circ)*tan110^(circ))

ringearV 2021-03-06 Answered

Find the exact value of the expression.
tan25+tan110/1tan25tan110

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Expert Answer

Macsen Nixon
Answered 2021-03-07 Author has 117 answers

40
use the identity:
tan(u+v)=(tanu+tanv)/(1tanutanv)
where:
u=25,v=110
Therefore,
(tan25+tan110)/(1+tan25tan110)=tan(25+110)
(tan25+tan110)/(1+tan25tan110)=(tan135)
(tan25+tan110)/(1+tan25tan110)
Result: 1

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