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kaylala
Group Title
Find the value of the following using the concepts of both addition and subtraction formulas and reference angle:
tan (255)
 8 months ago
 8 months ago
kaylala Group Title
Find the value of the following using the concepts of both addition and subtraction formulas and reference angle: tan (255)
 8 months ago
 8 months ago

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kaylala Group TitleBest ResponseYou've already chosen the best response.0
@eliassaab
 8 months ago

***[ISURU]*** Group TitleBest ResponseYou've already chosen the best response.1
tan ( 225 ) =  tan ( 225) = tan ( phi + 75 ) =  tan 75 = tan ( 45 + 30)
 8 months ago

***[ISURU]*** Group TitleBest ResponseYou've already chosen the best response.1
\[ \tan ( 30 + 45) = \frac{ \sin(30 + 45) }{ \cos (30 + 45) }\]\[ \tan (30 + 45) =  \frac{ \sin30 \ \cos45 + \cos30 \ \sin45 }{ \cos 30 \ \cos 45  \sin30 \ \sin 45 }\]
 8 months ago

***[ISURU]*** Group TitleBest ResponseYou've already chosen the best response.1
\[ \tan ( 45 + 30) = \frac{ (\frac{ 1 }{ 2} \times \frac{ 1 }{ \sqrt{2} }) + (\frac{ \sqrt{3} }{ 2 }\times \frac{ 1 }{ \sqrt{2} })}{(\frac{ \sqrt{3} }{ 2 }\times \frac{ 1 }{ \sqrt{2} })(\frac{ 1 }{ 2 }\times \frac{ 1 }{ \sqrt{2} } ) }\]
 8 months ago

***[ISURU]*** Group TitleBest ResponseYou've already chosen the best response.1
\[ \tan 75 = \frac{ 1 + \sqrt{3} }{ \sqrt{3}  1} = \frac{ ( 1 + \sqrt{3})(\sqrt{3} +1) }{ (\sqrt{3} 1)(\sqrt{3} +1) } = \frac{ 1 +3 + 2\sqrt{3} }{ 2} =  2 + \sqrt{3} = \tan(225)\]
 8 months ago

***[ISURU]*** Group TitleBest ResponseYou've already chosen the best response.1
\[\tan (225) = ( 2 + \sqrt{3} )\]
 8 months ago

***[ISURU]*** Group TitleBest ResponseYou've already chosen the best response.1
got it ?
 8 months ago

kaylala Group TitleBest ResponseYou've already chosen the best response.0
yes got it. thanks @***[ISURU]***
 8 months ago
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