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Mathematics 18 Online
OpenStudy (anonymous):

.

OpenStudy (anonymous):

OpenStudy (amistre64):

i knew it was a trap :/

OpenStudy (anonymous):

haha please help

OpenStudy (anonymous):

\[5\sin(2\alpha)=10\sin(\alpha)\cos(\alpha)\]may be a good start

OpenStudy (amistre64):

sin(2a) = 2sin(a)cos(a) and i might think about dividing everything by a sin^2

OpenStudy (anonymous):

also note that \[\cos^2(\alpha)-\sin^2(\alpha)=\cos(2\alpha)\] might actually be a better first step

OpenStudy (amistre64):

or that lol

OpenStudy (anonymous):

so right away you will get \[\frac{5\sin(2\alpha)}{\cos(2\alpha)}\] and maybe that will finish

OpenStudy (amistre64):

why is 1 and 4 the same?

OpenStudy (anonymous):

but as you can see from both our posts, there is no magic bullet. you just have to grind it til you find it, using whatever gimmicks you can that is why it is called 'trickonometry"

OpenStudy (amistre64):

1 and 5 that is

OpenStudy (anonymous):

answer is 6. 5 tan x

OpenStudy (amistre64):

i see what i did; i used my sin^2 bullet twice. bad amistre!!

OpenStudy (anonymous):

no it is not \[5\tan(\alpha)\] it is \[5\tan(2\alpha)\] i believe. another trick

OpenStudy (anonymous):

\[\cos ^{2}\alpha -\sin ^{2\alpha}=\cos2\alpha\] \[5\sin2\alpha/\cos2\alpha=5 \tan2\alpha\]

OpenStudy (anonymous):

Omg yes i saw wrongly.

OpenStudy (anonymous):

this is complicated

OpenStudy (anonymous):

oh ok i understand tiaph better, its simpler

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