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

sin4A=4sinAcos^3A-4cosAsin^3A

Prove that 4sinA.cosA.cos2A=sin4A

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

Given 5 cos A - 12 sin A = 0 , evaluate : (sinA+cosA)/(2 cosA-sinA)

Prove that: (cos(A-B)+sinA-cos(A+B))/(sin(A+B)+cosA-sin(A-B))=tanA

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

Prove that: (sin(A+B)-2sinA+sin(A-B))/(cos(A+B)-2cosA+cos(A-B))= tanA

If A+C=2B, then (cosC-cosA)/(sinA-sinC)=

If sinA+sinB=sqrt3(cosB-cosA),then sin3A+sin3B=

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)