cutiecomittee123
  • cutiecomittee123
Derive the trigonometric addition formula for sine sin(a+b)=sinacosb+cosasinb
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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princeharryyy
  • princeharryyy
Use cos(A-B) = cosAcosB + sinAsinB
princeharryyy
  • princeharryyy
use 90 deg transformations cos(90-A) = sinA and sin(90-A) = cos(A)
princeharryyy
  • princeharryyy
cos(A-B) = cosAcosB + sinAsinB replace A with pi/2-A on both sides cos( pi/2-A -B) = cos (pi/2-A )cosB + sin( pi/2-A )sinB cos( pi/2-(A +B)) = sinAcosB + cosAsinB Sin(A +B) = sinAcosB + cosAsinB

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cutiecomittee123
  • cutiecomittee123
Why did you do the part with the 90? How does that have anything to do with the rest of the derivation?
cutiecomittee123
  • cutiecomittee123
@princeharryyy
princeharryyy
  • princeharryyy
when the transformations are done >> at 90, sin changes to cos, cos to sin, tan to cot and so on @cutiecomittee123.

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