* Exercises :-H.W): Firel : (a) {zt cosmet; (b).{{Sinht costs:0:{(t+vet, 0.5 2182351] ; (e)" 8:6) I45**s*: : ) ANS.1:() 5+ 5+25+2 ; DSC015032 + 5+7;dete (S-1)3 + (5-12 (e) coste sint); 4) 4 de sintet. 24.vn) -(0)8% () 2 Q) Solve: (a)x+3y-lo Sint, Yo-o;(b)/'+a2Y= 0.014,Y)=-225; (c)+ay-2a2yo, YO-6.70-7. ANS.2:(a) %7.cost+3Sint;Cb)|,2057-0-25,(c)y-2 +48 . -zat -24 (3) Solve:-9) "+3y+2y=4t, if ortrland 81t>1, Y0=0,/60; (b) "9y=8 Sint if ostro and it t>J,Y)= 0, 70-4; (c) Y"+Y-2Y=3Sint-cost if ostier and 3 Sinzt-Co2+ ++> 20, Y(0) = 1, YVO)= 0 Strtuzt-3 Octs! ANS.3:(0) ya (4-8e)(s 1844 if t > 1 (6) Y Sin3t+ Sint is stro - sinst it t73 (C) y = Set- sint if (ost227) et & sinat if +Y20T (4) Final s-a) 5' ); (b) $'{ Ines 1,3};() {"co's). ANS. 4:(a) t Cosot; (b) 2'(et.cost);0) ' sinot. .05'te cos{ (5-1)2 S 29 (5) Prove that: (a) {"{$400= a (coshat sinat - Sinhat Cosat); (b)$"{$th Late ( siwhat sinat), (S" ); (C) + ); 444 at ) = 2 2 2 (coshat sinat + Sinh at Cosat); Gol) I (coshat Cosat). S {"C S4404 * Exercises :-H.W): Firel : (a) {zt cosmet; (b).{{Sinht costs:0:{(t+vet, 0.5 2182351] ; (e)" 8:6) I45**s*: : ) ANS.1:() 5+ 5+25+2 ; DSC015032 + 5+7;dete (S-1)3 + (5-12 (e) coste sint); 4) 4 de sintet. 24.vn) -(0)8% () 2 Q) Solve: (a)x+3y-lo Sint, Yo-o;(b)/'+a2Y= 0.014,Y)=-225; (c)+ay-2a2yo, YO-6.70-7. ANS.2:(a) %7.cost+3Sint;Cb)|,2057-0-25,(c)y-2 +48 . -zat -24 (3) Solve:-9) "+3y+2y=4t, if ortrland 81t>1, Y0=0,/60; (b) "9y=8 Sint if ostro and it t>J,Y)= 0, 70-4; (c) Y"+Y-2Y=3Sint-cost if ostier and 3 Sinzt-Co2+ ++> 20, Y(0) = 1, YVO)= 0 Strtuzt-3 Octs! ANS.3:(0) ya (4-8e)(s 1844 if t > 1 (6) Y Sin3t+ Sint is stro - sinst it t73 (C) y = Set- sint if (ost227) et & sinat if +Y20T (4) Final s-a) 5' ); (b) $'{ Ines 1,3};() {"co's). ANS. 4:(a) t Cosot; (b) 2'(et.cost);0) ' sinot. .05'te cos{ (5-1)2 S 29 (5) Prove that: (a) {"{$400= a (coshat sinat - Sinhat Cosat); (b)$"{$th Late ( siwhat sinat), (S" ); (C) + ); 444 at ) = 2 2 2 (coshat sinat + Sinh at Cosat); Gol) I (coshat Cosat). S {"C S4404