`sin(A+B).sin(A- B)=sin^(2)A-sin^(2)B`

Prove that sin(A+B)sin(A-B)=sin^2A-sin^2B

Prove that : sin (A + B) sin (A - B) = sin^2A- sin^2B .

sin^(2)A cos^(2)B-cos^(2)A sin^(2)B=sin^(2)A-sin^(2)B

If A=60⁰ and B=30⁰ , verify that sin(A+B) sin (A-B)=(sin A)^2-(sin B)^2

If (cos^(4)A)/(cos^(2)B)+(sin^(4)A)/(sin^(2)B)=1 then prove that (i)sin^(2)A+sin^(2)B=2sin^(2)A sin^(2)B(ii)(cos^(4)B)/(cos^(2)A)+(sin^(4)B)/(sin^(2)A)=1

Prove that sin^(2)(A+B)-sin^(2)(A-B)=sin2A*sin2B

If A+B+C= 180^(@) , prove that: (i) "sin"^(2)+"sin"^(2)B-"sin"^(2)C=2 "sin"A sin B cos C (ii) "sin"^(2)A-"sin"^(2)B+"sin"^(2) C=2 sin Acos B sin C.

sin^(2) A cos^(2)B + cos ^(2) A sin^(2) B + sin^(2) A sin^(2) B+ cos^(2) A cos^(2) B=

(sin(A+3B)+sin(3A+B))/(sin2A+sin2B)=2cos(A+B)

(sin(A+3B)+sin(3A+B))/(sin2A+sin2B)=2cos(A+B)