" (iv) "2sin A*sin B=cos(A-B)-cos(A+B)

Assetion (A) : If x= sin(alpha- beta) sin (gamma- delta), y= sin(beta- gamma) sin (alpha- delta) z=sin (gamma- alpha). Sin (beta- delta) then x+y+z=0 Reason (R) : 2 sin A sin B= cos (A-B)+cos (A+B)

Show that (1+sin A)/(cos A)+(cos B)/(1-sin B)=(2sin A-2sin B)/(sin(A-B)+cos A-cos B)

In any triangle ABC,sin^(2)A-sin^(2)B+sin^(2)C is always equal to (A) 2sin A sin B cos C(B)2sin A cos B sin C(C)2sin A cos B cos C(D)2sin A sin B sin C

Prove that: i) sin(A+B)cos(A-B)-cos(A+B)sin(A-B)=sin2B ii) cos(45^(@)-A)cos(45^(@)-B)-sin(45^(@)-A)sin(45^(@)-B)=sin(A+B)

Prove that: i) sin(A+B)cos(A-B)-cos(A+B)sin(A-B)=sin2B ii) cos(45^(@)-A)cos(45^(@)-B)-sin(45^(@)-A)sin(45^(@)-B)=sin(A+B)

Prove the following identities : (sin(A+B) - 2 sin A + sin (A-B))/(cos(A+B)-2cos A +cos (A-B))=tan A

Prove (i)cos(A+B)+cos(A-B)=2cos A cos B(ii)cos(A-B)-cos(A+B)=2sin A sin B

if ( cos A + cos B )/( sin A + sin B ) = k ( (sin A - sin B)/ ( cos A- cos B)) then k is

(sin(A+B)+cos A-sin(A-B))/(cos(A-B)+sin A-cos(A+B))=