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cos(45^(@)+A)+cos(45^(@)-A)=sqrt(2)cos A...

cos(45^(@)+A)+cos(45^(@)-A)=sqrt(2)cos A

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Prove that: cos(45^(@)+A) cos(45^(@)-A)=1/2 cos2A

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(cos 45^(@))=1/(sqrt(2))

Prove that cos (30^(@) -A ) cos (30^(@) + A ) + cos (45^(@) - A) cos (45^(@) + A) = cos 2A + (1)/(4) .

2sin45^(@)cos45^(@)

(cos (45 ^ (@) + A) -cos (45 ^ (@) - A)) / (sin (120 ^ (@) + A) -sin (120 ^ (@) - A)) =

( cos (45^(@) + A) - cos (45^(@) - A))/( sin (120^(@) + A)-sin(120^@-A))=

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Prove that: i) sin(A+B)cos(A-B)-cos(A+B)sin(A-B)=sin2B ii) cos(45^(@)-A)cos(45^(@)-B)-sin(45^(@)-A)sin(45^(@)-B)=sin(A+B)

Prove that: cos(45^(@)-A)cos(45^(@)-B)-sin(45^(@)-A)sin(45^(@)-B)=sin(A+B)