Ex 3.2, 6 - Chapter 3 Class 12 Matrices

Transcript

Ex 3.2, 6 Simplify cos [ 8(cos &sin @ sin &cos )] + sin [ 8(sin & cos @cos &sin )] cos [ 8(cos &sin @ sin &cos )] + sin [ 8(sin & cos @cos &sin )] = [ 8("cos " ("cos " )&cos (sin )@cos ( )&cos (cos ))] + [ 8(sin (sin )&sin ( "cos " ) @sin ("cos " )&sin (sin ))] = [ 8(cos2 &cos sin @ cos sin &cos2 )] + [ 8(sin2 & cos sin @sin cos &sin2 )] = [ 8(cos2 +sin2 &sin cos cos sin @ cos sin +sin cos &cos2 +sin2 )] = [ 8(cos2 +sin2 &0@0&cos2 +sin2 )] = [ 8(1&0@0&1)]