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SOMEONE PLEASE HELP ME OUT WITH DOUBLE ANGLES !
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Evaluate the expression using an appropriate double angle formula. 6tan(75) / 1-tan^2(75)
can you use a calculator or not?
i have to show the working
please could you show me how to do it ?
\[\tan 2A=\frac{2\tan A}{1-\tan ^{2}A}\]
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\[\frac{6\tan 75}{1-\tan ^{2}75}=\frac{(3)2\tan 75}{1-\tan ^{2}75}=3\tan 2A\]
\[2A=150, \tan(150)=-\frac{\sqrt{3}}{3}\]
\[3\tan 2A=3(-\frac{\sqrt{3}}{3} )= -\sqrt{3}\]
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