Multiply `sin(A+B)=sinA cosB+ cos A sinB` and `sin(A-B)=sinA cosB - cosA sin B`

If sinA+cosB=a and sinB+cosA=b then sin(A+B)=

If A+B+C=pi , prove that : sinA cosB cosC +sinB cosC cosA + sinC cosA cosB = sinA sinB sinC .

If sin(A-B) =1//2 and cos(A+B)=1//2 , then what is the value of sinA cosA + sin^2A sinB cosB +cos^3 A cosB tanA यदि sin(A-B) =1//2 तथा cos(A+B)=1//2 ,का तो मान sinA cosA + sin^2A sinB cosB +cos^3 A cosB tanA क्या है?

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

If |[cos(A+B), -sin(A+B), cos2B], [sinA, cosA, sinB], [-cosA, sinA, cosB]|=0 , then B=

If sinA+sinB=C,&cosA+cosB=D , then sin(A+B)=?

If cosA+cosB=m and sinA+sinB=n then sin(A+B)=

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

Prove that: sin(A+2B)sinA-sinBsin(2A+B)sinB=sin(A+B)sin(A-B)