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Using the Relationship Between Trigonometric Functions 4 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

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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