(a-b-a^(2)+b^(2))

If : sin theta = (a^(2)-b^(2))/(a^(2)+b^(2)), "then" : cot theta= A) (4a^(2)b^(2))/(a^(2) -b^(2)) B) (a^(2) + b^(2))/(a^(2) - b^(2)) C) (4a^(2)b^(2))/(a^(2) + b^(2)) D)none of these.

The sum of (a)/(a^(2)-b^(2)) and (b)/(a^(2)-b^(2)) is

What is the value of {((a+b)^(2) - (a^(2) +b^(2)))/((a+b)^(2) - (a-b)^(2))}?

Prove that matrix [((b^(2)-a^(2))/(a^(2)+b^(2)),(-2ab)/(a^(2)+b^(2))),((-2ab)/(a^(2)+b^(2)),(a^(2)-b^(2))/(a^(2)+b^(2)))] is orthogonal.

Prove that matrix [((b^(2)-a^(2))/(a^(2)+b^(2)),(-2ab)/(a^(2)+b^(2))),((-2ab)/(a^(2)+b^(2)),(a^(2)-b^(2))/(a^(2)+b^(2)))] is orthogonal.

Prove that matrix [((b^(2)-a^(2))/(a^(2)+b^(2)),(-2ab)/(a^(2)+b^(2))),((-2ab)/(a^(2)+b^(2)),(a^(2)-b^(2))/(a^(2)+b^(2)))] is orthogonal.

Prove that matrix [((b^(2)-a^(2))/(a^(2)+b^(2)),(-2ab)/(a^(2)+b^(2))),((-2ab)/(a^(2)+b^(2)),(a^(2)-b^(2))/(a^(2)+b^(2)))] is orthogonal.

If tan theta=(a)/(b), then (a sin theta+b cos theta)/(a sin theta-b cos theta) is equal to (a^(2)+b^(2))/(a^(2)-b^(2))(b)(a^(2)-b^(2))/(a^(2)+b^(2))(c)(a+b)/(a-b)(d)(a-b)/(a+b)

Show that |{:(1+a^(2)-b^(2),,2ab,,-2b),(2ab,,1-a^(2)+b^(2),,2a),(2b,,-2a,,1-a^(2)-b^(2)):}| = (1+a^(2) +b^(2))^(3)

1+a^(2)-b^(2),2ab,-2b2ab,1-a^(2)+b^(2),2a2b,-2a,1-a^(2)-b^(2)]|=(1+a^(2)+b^(2))^(3)