If `m cos^2 A+n sin^2 A=p,` then `cot^2 A=`

If m cos alpha-n sin alpha=p then prove that m sin alpha+n cos alpha=+-sqrt(m^(2)+n^(2)-p^(2))

If sin A , cos A , tan A are in G.P then cot ^6 A - cot^2 A is

If a cos A+b sin A=m and a sin A-b cos A=n prove that a^(2)+b^(2)=m^(2)+n^(2)

If sin A , cos A and tan A are in G.P. then cot^(6) A- cot^(2) A =

Prove that: sin^(2) A tan A + cos^(2) A cot A + 2 sin A cos A= tan A + cot A

( cos A - sin A + 1 ) / ( cos A + sin A - 1 ) = cosec A + cot A cosec A + cot A , = using the identity cosec ^ 2 A = 1 + cot^ 2 A .

The numerical value of ( cos^2 45^@ ) /( sin ^2 60 ^@) +( cos ^2 60^@ )/( sin ^2 45 ^@ ) -(tan ^2 30 ^@ )/( cot^2 45^@ ) -( sin^2 30 ^@ )/( cot^2 30^@) is

If cos A+sin B=m and Sin A+cos B=n ,then prove that 2sin (A+B)=m^2+n^2-2 .

Prove that: (cos 2A cos 3A -cos 2A cos 7A + cos A cos 10A)/("sin" 4A sin 3A - sin 2A sin 5A + sin 4A sin 7A) = cot 6A cot 5A

If cos A,sin A,cot A are in G.P.then the value of tan ^(6)A-tan^(2)A is