prove cos(a+b)=cosA.cosB-sinA.sinB

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Question
Prove that:
(i) cos(A+B)= cosAcosB - sinAsinB
(ii)cos(A-B)= cosAcosB + sinAsinB
#Class11trigonometry
prove #cos(a-b)=cosacosb+sinasinb,
prove #cos(a-b)=cosacosb+sinasinb using vectors,
prove cos(a+b)=cosacosb-sinasinb,
how to prove cos(a+b)=cosacosb-sinasinb,
prove that cos(a+b)=cosacosb-sinasinb
  1. GotFocuss
  2. prove cos(a b)=cosacosb-sinasinb
  3. prove cos(a b)=cosacosb-sinasinb by vector method
  4. prove cos(a b) using sin(a b)
  5. prove cos(a b)=cosacosb-sinasinb using vectors
  6. prove cos(a b)cos(a-b)=cos^2a-sin^2b
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