SOLUTION: I am given the following and need to use the sum formula to fill in the blanks: {{{sin(x+(Pi/3))=_sinx+_cosx}}} I know that the sum formula gives me: {{{sinx*cos(pi/3)+cos

Algebra ->  Trigonometry-basics -> SOLUTION: I am given the following and need to use the sum formula to fill in the blanks: {{{sin(x+(Pi/3))=_sinx+_cosx}}} I know that the sum formula gives me: {{{sinx*cos(pi/3)+cos      Log On


   



Question 975568: I am given the following and need to use the sum formula to fill in the blanks:
sin%28x%2B%28Pi%2F3%29%29=_sinx%2B_cosx
I know that the sum formula gives me:
sinx%2Acos%28pi%2F3%29%2Bcosx%2Asin%28pi%2F3%29
but I don't know where to go from here.

Found 3 solutions by josgarithmetic, Edwin McCravy, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Your having the formula known, you can decide which factor goes where purely by inspection. No thinking is needed; just look what is missing and fill it.

Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
I am given the following and need to use the sum formula to fill in the blanks:
sin%28x%2B%28Pi%2F3%29%29=_sinx%2B_cosx
I know that the sum formula gives me:
sinx%2Acos%28pi%2F3%29%2Bcosx%2Asin%28pi%2F3%29
but I don't know where to go from here.
------------
sinx%2Ared%28cos%28pi%2F3%29%29%2Bcosx%2Agreen%28sin%28pi%2F3%29%29 = red%28%22_____%22%29%2Asinx%2Bgreen%28%22_____%22%29%2Acosx

Fill in the red blank on the right with what's red on the left and 
fill in the green blank on the right with what's green on the left.

Maybe you don't know that red%28cos%28pi%2F3%29=1%2F2%29 and that green%28sin%28pi%2F3%29=sqrt%283%29%2F2%29.

Edwin


Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
I am given the following and need to use the sum formula to fill in the blanks:
sin%28x%2B%28Pi%2F3%29%29=_sinx%2B_cosx
I know that the sum formula gives me:
sinx%2Acos%28pi%2F3%29%2Bcosx%2Asin%28pi%2F3%29
but I don't know where to go from here.
sinx%2Acos%28pi%2F3%29%2Bcosx%2Asin%28pi%2F3%29 
sin+x+%2A+%281%2F2%29+%2B+cos+x+%2A+%28sqrt%283%29%2F2%29, or highlight_green%28%281%2F2%29+%2A+sin+x+%2B+++%28sqrt%283%29%2F2%29+%2A+cos+x%29 ---------- Replacing cos+%28pi%2F3%29 with 1%2F2, and sin+%28pi%2F3%29 with sqrt%283%29%2F2