[" 4."quad " "Fif "ar A=[[cos theta,sin theta],[sin theta,cos theta]],B=[[cos phi,sin phi],[sin phi,cos phi]]" Fiffer "vec omegavec l" for (show that) "],[AB=BA]

If A=[[cos theta, sin theta],[sin theta, cos theta]],B=[[cos phi, sin phi],[sin phi, cos phi]] show that AB=BA.

If A=[[cos theta, sin theta],[sin theta, cos theta]],B=[[cos phi, sin phi],[sin phi, cos phi]] show that AB=BA.

If sin theta+ sin phi= a and cos theta+ cos phi= b , find : sin (theta+ phi) .

Flind the product of two matrices A =[[cos^(2) theta , cos theta sin theta],[cos theta sin theta ,sin^(2)theta]] B= [[cos^(2) phi,cos phi sin phi],[cos phisin phi,sin^(2)phi]] Show that, AB is the zero matrix if theta and phi differ by an odd multipl of pi/2 .

Flind the product of two matrices A =[[cos^(2) theta , cos theta sin theta],[cos theta sin theta ,sin^(2)theta]] B= [[cos^(2) phi,cos phi sin phi],[cos phisin phi,sin^(2)phi]] Show that, AB is the zero matrix if theta and phi differ by an odd multipl of pi/2 .

If sin theta+ sin phi= a and cos theta+ cos phi= b , find : cos (theta- phi) .

If sin theta+ sin phi= a and cos theta+ cos phi= b , find : cos (theta+ phi) .

If sin theta = k sin (theta + phi),"show that", tan(theta + phi) = (sin phi)/(cos phi -k).

If sin theta=k sin(theta+phi), show that tan(theta+phi)=(sin phi)/(cos phi-k)