Taking ` A = 60^(@)` and `B=30^(@)` verify that `sin (A-B) = sin A cos B - cos A sin B`.

sin(A+B)=sinA cos B +cos A sin B

sin(A-B)=sinA cos B-cosA sinB

Is it right to say that sin (A+B) =sin A +sin B ? Justify your answer.

In Delta ABC right angled at B if tan A = (1 ) /(sqrt 3 ) then find the value of : (i) sin A cos C + cos A sinC (ii) Cos A cos C - sin A sinC

If sin A+sin B=a and cos A+cos B=b then cos (A+B)=

In a right angle triangle ABC, right angle is at B ,If tan A=1/sqrt(3) , then find the value of (i) sin A cos C+ cos A sin C " "(ii) cos A cos C -sin A sin C

If A+B+C=pi , prove that sin 2A+sin 2B+sin 2C=4 sinA sin B sinC.

Find x:sin 2x = sin 60^(@) cos 30^(@) - cos 60^(@) sin 30^(@) .

If A + B = 90^(@) , prove that sqrt((tan A tan B + tan A cot B)/(sin A sec B ) - (sin^(2) B)/(cos^(2)A)) = tan A .

x = a cos theta, y = b sin theta .