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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
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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"
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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