If `(a^2-b^2)sintheta+2abcostheta=a^2+b^2` then prove that `tantheta=(a^2-b^2)/(2ab)`

If (a^(2)-b^(2))sintheta+2abcostheta=a^(2)+b^(2) ,then tantheta= ?

If (a^(2)-b^(2))sin theta+2 ab cos theta-(a^(2)+b^(2))=0 , then prove that tan theta=(1)/(2)((a)/(b)-(b)/(a)) .

If a sintheta + bcos theta = C, then prove that a costheta -b sintheta = sqrt(a^2+b^2-c^2)

If cosectheta-sintheta=a^3, sectheta-costheta=b^3 , then prove that a^2b^2(a^2+b^2)=1

Prove that |axxb^2 =a^2b^2 - (a.b)^2

If a costheta -b sin theta = c ,then prove that a sintheta + b costheta=+-sqrt(a^2+b^2-c^2 )

If sintheta = (a^(2)+2ab)/(a^(2)+2ab+2b^(2)), show that : tan theta=(a^(2)+2ab)/(2ab+2b^(2)).

Prove that: (a-b)^(2)=a^(2)-2ab+b^(2)

Prove that |axxb|^2 =a^2b^2 - (a.b)^2

Prove that |axxb|^2 =a^2b^2 - (a.b)^2