Solve `[(cosA+sinA+1)/cosA][(sinA+cosA-1)/sinA]`

(sinA+cosA)^2+(sinA-cosA)^2=

Prove the following identities: (sinA+cosA)/(sinA-cosA)+(sinA-cosA)/(sinA+cosA)=2/(sin^2A-cos^2A)=2/(2sin^2A-1)=2/(1-2cos^2A)

Prove: (1+cosA)/(sinA)=(sinA)/(1-cosA)

Prove that (cosA-sinA+1)/(cosA+sinA-1) =cosec A+ cot A using the identity cosec^(2)A=1+cot^(2)A .

Prove: (cosAcosecA-sinAsecA)/(cosA+sinA)=cosecA-secA

Prove that: (1+cosA+sinA)/(1+cosA-sinA)=(1+sinA)/(cosA)

Simplify : sinA[(sinA,-cosA),(cosA, sinA)]+cosA[(cosA,sinA),(-sinA, cosA)] .

Solve sinA.cos(A-B)-cosA.sin(A-B)

Using properties of determinant. Prove that |[sinA,cosA,sinA+cosB],[sinB,cosA,sinB+cosB],[sinC,cosA,sinC+cosB]|=0

Prove the following identities: (cosA)/(1-tanA)+(sin^2A)/(sinA-cosA)=sinA+cosA