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Using the Relationship Between Trigonometric Functions 6 Views
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Description:
If sin[(18d + 12)°] = cos[(7d – 22)°], what is the value of d?
Transcript
- 00:01
Okay i say t match members Here we go another
- 00:04
one it's the son of the quantity eighteen de plus
- 00:06
twelve degrees is co sign of seventy minus twenty two
- 00:09
degrees with the value of d yeah Okay These princes
- 00:17
things were kind of gnarly Well let's think about this
Full Transcript
- 00:19
Those inner terms need to be released from the prison
- 00:22
of their trigon A metric functions These things they're you
- 00:25
know they're prisons This relationship between signing coastline functions can
- 00:28
help us pull off you know perfect jailbreak here So
- 00:31
some basic sign of ex degrees is the co sign
- 00:34
of ninety minus six degrees Either the sign can be
- 00:37
turned into a co sign or vice versa But here
- 00:40
the sign is turned into a co sign So we've
- 00:42
got the sign of eighteen de plus twelve degrees There
- 00:45
is the co sign of quantity here Ninety minus eighteen
- 00:48
d minus twelve degrees Right So lets a rewrite things
- 00:51
a bit We'll pull this onto this side and restate
- 00:55
this as equaling the co sign of quantity Seventy minus
- 00:58
twenty two degrees All right Well now because they're both
- 01:01
co signed functions that coast there can be a raised
- 01:04
on both sides We just cross it out because that's
- 01:06
what we do know that just gets us and simple
- 01:08
algebra problem here Right Well ninety minus eighty minus twelve
- 01:12
is seventy minus twenty two combined Some terms here we've
- 01:15
got seventy eight months eighteen de is seventy minus twenty
- 01:20
two there and then combine them again We got seventy
- 01:23
eight is twenty five d minus twenty two about twenty
- 01:26
two both sides One hundred is twenty five d c
- 01:28
o d is just four Seems pretty simple after all
- 01:31
that mess Well d is what we wanted to use
- 01:33
what we got equals four and there's a problem here
- 01:35
though as it turns out d was in prison for
- 01:38
a reason Now that we're on the run with him
- 01:40
we're finding he's a bit more than we can handle 00:01:43.453 --> [endTime] Just shut up a night stop snoring shmoop
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