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

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

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

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

sin 45^(@)(cos 45^(@)) =…………..

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: 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)

Find the value of (i) cos(-30^(@)) " " (ii) sin 120^(@) " " (iii) sin135^(@) " " (iv) cos 120^(@)" " (v) sin270^(@) " " (vi) cos270^(@)

If cot theta = 8//15 and theta does not lie in the first quadrant , then cos (30^(@) + theta ) + sin (45^(@) - theta ) + cos(120^(@) + theta ) =

Find the value of cos 45^(@) + sin 45^(@)