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Mathematics 19 Online
OpenStudy (anonymous):

Which of the following choices is a simplification of sin 60°cos15°-sin15°-cos60°?

OpenStudy (anonymous):

OpenStudy (anonymous):

can someone please help me with this

OpenStudy (danjs):

use the values here... http://www.embeddedmath.com/downloads/files/unitcircle/unitcircle-letter.pdf

OpenStudy (danjs):

the x - coordinates are the cosine of the angle, the y- coordinates are the sine of the angle

OpenStudy (danjs):

Each point on the circle radius 1 is ( cos(theta) , sin(theta) )

OpenStudy (anonymous):

so in this case, i feel like c (the third answer) is the right one? Is it correct?

OpenStudy (danjs):

didnt calculate.. umm

jimthompson5910 (jim_thompson5910):

hint: sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

OpenStudy (anonymous):

yea i'm having trouble to convert, it seems like the 3rd answer to me

OpenStudy (danjs):

ah i just about to say the sum formula

OpenStudy (danjs):

Is that a minus though after sin(15)

jimthompson5910 (jim_thompson5910):

I think the original problem should be sin 60°cos15°-sin15°cos60°

OpenStudy (danjs):

yea

OpenStudy (anonymous):

could it be #A?

OpenStudy (danjs):

Apply that sum formula first, here is a cheat sheet to remember properties and identities

OpenStudy (anonymous):

JIm was correct, the original question is like what he said, it was a typo

OpenStudy (danjs):

yea, so apply this rule... sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

OpenStudy (danjs):

since the question is exactly th eform of that right side

OpenStudy (danjs):

sin(60 - 15) = sin(45)

OpenStudy (danjs):

root 2 over 2

OpenStudy (anonymous):

I will go through your sugguested process again to confirm, thank you so much!

OpenStudy (danjs):

yeah, just have to recognize that form to simplify it with the identity thing, Either way, you could have just subbed all 4 values in and it would come out the same

OpenStudy (anonymous):

sorry idk i wish i could help doe

OpenStudy (anonymous):

love u

OpenStudy (anonymous):

wrong person

OpenStudy (anonymous):

new phone who dis

OpenStudy (anonymous):

u should go on pathway

OpenStudy (anonymous):

it rally helps

OpenStudy (anonymous):

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