If `sin A =3/5` ,find the values of sin2 A and cos 2 A.

Find the values of sin (cos−1 3/5)

Find the value of 3 sin^2 45^@ + 2 cos^2 60^@ .

If 2 cot A =3, find the value of " " ( 5 sin A - 2 cos A)/( 6 cos A + sin A )

If 5 cos A - 12 sin a = 0 , find the value of (sin A - cos A)/(2 cos A - sin A) .

If cos A = 4 sin A , find the value of , 4 cos ^(2) A - 3 sin ^(2) A + 2

Find a value of A when cos 2A = sin 3A

If sin A = cos A , find the value of 2tan^(2)A + sin^(2)A +1 .

If A = 60 ^(@) and B = 30 ^(@) , find the value of (sin A cos B+ cos A sin B)^(2) + (cos A cos B - sin A sin B )^(2)