If A `=45^(@)`,then show that : `cos 2A=cos^(2)A-sin^(2)A`

If A= 45^@ , verify that : cos 2A = cos^2 A - sin^2 A.

If sin A+sin^(2)A=1, then show that cos^(2)A+cos^(4)A=1

If A = 30^(@) , show that : (i) (1 + sin 2A + cos 2A)/(sin A + cos A) = 2 cos A (ii) (cos^(3)A - cos 3A)/(cos A) + (sin^(3)A + sin 3A)/(sin A) = 3

If A= 45^(@) , verify that: (i) sin 2A=2 sin A cos A (ii) cos 2A= cos^(2)A-"sin"^(2)A .

If A+B+C= (pi)/(2) , then show that sin 2A+sin 2B +sin 2C=4 cos A cos B cos C

If A= 45^@ , verify that : sin 2A =2 sin A cos A .

Show that: sin^(8)A-cos^(8)A=(sin^(2)A-cos^(2)A)(1-2sin^(2)A cos^(2)A)

Show that: sin^(8)A-cos^(8)A=(sin^(2)A-cos^(2)A)(1-2sin^(2)A*cos^(2)A)

The value of cos^(2)45^(@)-sin^(2)15^(@) is

The value of cos ^(2)45^(@) - sin^(2)15^(@) is