how do you simplify cos(alpha+(pi/3))?

ray-wilson_6095090126f29 · May 2021

simplify cos(alpha+(pi/3)), this is one of the types of problems in my homework and i dont understand, any help would be appreciated, if you show me how to solve this i can figure it out for the rest of em thanks for any help....

anonymous · May 2021

formula

cos(x+y)=cosx cosy - sinx siny

lilly-reid_609509023de71 · May 2021

cos(A+B)= cos(A)*cos(B) - sin(A)*sin(B), so,

cos(alpha+(pi/3)) = cos(alpha)*cos(pi/3) - sin(alpha)*sin(pi/3) ,

and since cos(pi/3) = 1/2, sin(pi/3) = sqrt(3)/2, then,

cos(alpha+(pi/3)) = 1/2 * cos(alpha) + sqrt(3)/2 *sin(alpha) = [cos(alpha)+sqrt(3)*sin(alpha)]/2.

Best Regards.

how do you simplify cos(alpha+(pi/3))?

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