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sin (45^(@) +A) sin .(45^(@) –A) =(1)/(...

` sin (45^(@) +A) sin .(45^(@) –A) =(1)/(2) cos 2A`

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sin (45 ^ (@) + A) sin (45 ^ (@) - A) = (1) / (2) cos2A

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

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

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

cos 45^(@)-sin 45^(@)=?

sin (A - 45 ^(@) ) = (1)/( sqrt2) (sin A - cos A)

sin 45^(@)(cos 45^(@)) =…………..

sin^(2)45^(@)+cos^(2)45^(@)=

((4) / (tan ^ (2) 60 ^ (@)) + (1) / (cos ^ (2) 30 ^ (@)) - 2sin ^ (2) 45 ^ (@)) / (sin ^ (2) 60 ^ (@) + cos ^ (2) 45 ^ (@))

((4) / (tan ^ (2) 60 ^ (@)) + (1) / (cos ^ (2) 30 ^ (@)) - 2sin ^ (2) 45 ^ (@)) / (sin ^ (2) 60 ^ (@) + cos ^ (2) 45 ^ (@))