5.42 Matrices cosx - sinx 0 (ii) If...
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5.42 Matrices cosx - sinx 0 (ii) If F(x) = sin x cosx 0. show that F(x)-F(y)= F (x + y) 0 0 1

11th - 12th Class
Maths
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( f(x) int_{1} ) ( sin ^{2} sin x ) ( cos x ) 0 ( f(y)=left[begin{array}{ccc}operatorname{css} y & -sin y & 0 sin y & cos y & 0 0 & 0 & 1end{array}right] ) ( f(x+y)=left[begin{array}{ccc}cos (y+x) & -sin (x+y) & 0 sin (x+y) & cos (x+y) & 0 0 & 0 & 1end{array}right] ) ( f(x) f(x)=left[begin{array}{ccc}operatorname{css} x & -sin x & 0 sin x & cos x & 0 0 & 0 & 1end{array}right] ) ( left{begin{array}{l}cos y-sin y cdot 0 sin x cos x 0 & 0end{array}right. ) ( =int cos x cos y-sin x sin y-sin x cos y-cos x sin y quad 0 ) ( sin x cos y+cos x sin y quad ) cosecos-sinxsing [ O ] ( f(x+y) )
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