Solve `((sin^3A+cos^3A)/(sinA+cosA))+(sinAcosA)`

Prove the following identity: (sin^3A+cos^3A)/(sinA+cosA)+(sin^3A-cos^3A)/(sinA-cosA)=2

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)

If A is an obtause angle, then (sin^(3)A-cos^(3)A)/(sinA-cosA)+(sinA)/(sqrt(1+tan^(2)A))-2tanA cotA. is always equal to

Prove that (sinA+cosA)^3 = 3(sinA+cosA) - 2 (sin^3A+cos^3A)

Prove that (1+sinA-cosA)^2+(1-sinA+cosA)^2=4(1-sinA.cosA)

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

Prove that: sin(A+B)+cos(A-B)=(sinA+cosA)(sinB+cosB)

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