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Mathematics 13 Online
OpenStudy (anonymous):

SOMEONE PLEASE HELP ME OUT WITH DOUBLE ANGLES !

OpenStudy (anonymous):

Evaluate the expression using an appropriate double angle formula. 6tan(75) / 1-tan^2(75)

OpenStudy (precal):

can you use a calculator or not?

OpenStudy (anonymous):

i have to show the working

OpenStudy (anonymous):

please could you show me how to do it ?

OpenStudy (mertsj):

\[\tan 2A=\frac{2\tan A}{1-\tan ^{2}A}\]

OpenStudy (mertsj):

\[\frac{6\tan 75}{1-\tan ^{2}75}=\frac{(3)2\tan 75}{1-\tan ^{2}75}=3\tan 2A\]

OpenStudy (mertsj):

\[2A=150, \tan(150)=-\frac{\sqrt{3}}{3}\]

OpenStudy (mertsj):

\[3\tan 2A=3(-\frac{\sqrt{3}}{3} )= -\sqrt{3}\]

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