Show that `(1+sinA)/(cosA)+(cosB)/(1-sinB)=(2sinA-2sinB)/(sin(A-B)+cosA-cosB)`

((cosA+cosB)/(sinA-sinB))^(2012)+((sinA+sinB)/(cosA-cosB))^(2012)=

(sinA+sinB)/(cosA-cosB)+(cosA+cosB)/(sinA-sinB)=?

(sin^2A-sin^2B)/(sinA.cosA-sinB.cosB)=....

(sinA-sinB)/(cosA+cosB)+(cosA-cosB)/(sinA+sinB)=0 .

(sinA-sinB)/(cosA+cosB) is equal to

Prove that ((cosA+cosB)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n=2cot^n((A-B)/2) or according as n is even or oddrespectively..

Prove that (sin A+sinB)/(cosB-cosA)=(cos A+cosB)/(sinA-sinB) .

If none of the denominators is zero, prove that. ((cosA+cosB)/(sinA-sinB))^(n)+((sinA-sinB)/(cosA+cosB))^(n) = {(2cot^(n)((A-B)/(2)), if n "is even"),(0, if n "is odd"):} .

Prove that, (cosA-cosB)^(2)+(sinA-sinB)^(2)=4sin^(2)((A-B)/(2))

Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={2cot^n((A-B)/2),ifni se v e n0,ifni sod d,