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Mathematics 6 Online
kaylak:

help

kaylak:

@Vocaloid

kaylak:

1 attachment
kaylak:

1 attachment
Vocaloid:

for the first one you need to find the coordinate (cos(theta), sin(theta)) since cos(pi/12) and sin(pi/12) are not on the unit circle you need to re-write pi/12 in terms of angles that ~are~ on the unit circle and use difference identities to find the exact value of cos(pi/12) and sin(pi/12)

Vocaloid:

as a hint, pi/12 = pi/3 - pi/4

kaylak:

so b

kaylak:

@Vocaloid

Vocaloid:

check your calculations again cos(pi/12) = cos(pi/3 - pi/4) then use the last cos identity to find cos(pi/12)

Vocaloid:

|dw:1520395065571:dw|

kaylak:

d maybe i see that both are in q1

Vocaloid:

|dw:1520395786442:dw|

Vocaloid:

perform the appropriate calculation for alpha = pi/3 and beta = pi/4

Vocaloid:

|dw:1520395834283:dw|

kaylak:

clockwise is apparently a negative rotation so means counterclockwise is positive

Vocaloid:

with all due respect I would appreciate it if you at least took what I have said into consideration, I've put a lot of thought into what I've written

Vocaloid:

we have re-written our equation as cos(pi/3 - pi/4), if we match this up with the cos difference formula we get alpha = pi/3 and beta = pi/4 plug this into our difference equation cos(alpha)cos(beta) + sin(alpha)sin(beta) = ?

kaylak:

it must be c im looking at some examples in my lesson too semi helpful can't wait till this unit is over no more trig

kaylak:

because 60 degrees and 45 degrees there is one similar i my examples not the same but close enough

kaylak:

@Vocaloid i solved pi/12 is 15 degrees and got c for answer

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