alok vidyashram summer vacation holiday homework 2012

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ALOK VIDYASHRAM SUMMER VACATION HOLIDAY HOMEWORK <strong>2012</strong> CLASS: X SLC SUBJECTS ENGLISH MATHEMATICS OPT. MATHS HOMEWORK Make a brochure of any interesting place near your locality. Do the exercises of unit 1 & 2 Sets: H.C. F and LCM Simplification, compound Interest , SEDIPS, NPABSON, SOS, JST, PABSON, 2068 (CENTRAL, Eastern) from 10 sets. Prove that: 1. Cos (π/4+A)= 1/r 2 (cos-sinA) 2. Sin /45A) +cos (45+)= r 2 cosA 3. Cos((π/4)-sin ((π/4-A)=o 4. Sin 2 (45+A)+sin 2 (45-A)=01 tan A + tan B sin( A + B) 5. = tan A _ tan B cos( A + B) 6.Cos(A+B)cos(A+B)=cos 2 A-sin 2 B=cos 2 B-sin 2 A 2 2 tan A − tan B sin A − sin B 7.tan(A+B) tan(A-B)= = 2 2 2 2 1− tan A.tan B cos B − sin B 8. tan 2 A – tan 2 sin( A + B).sin(sin− B) B= 2 cos A.cos B 1 1 2 9. − = cosec A 2 tan A tan A cos λ sin λ 10. = = cos3λ sec λ cosecλ 11. if tan λ =5/6 and tanβ=1/11 show that λ +β= π/4 12. if, A+B=π/4, prove that: i)cotA.cot +B-cotA-cotB=1 ii) (cotA-1) (cotB-1)=2 13.i) if sin (θ+φ=2sin(θ-φ), prove that: tanθ=3tanφ ii) If tan λ =k tanβ, prove that: (k+1)sin ( λ -β)= (k-1) sin( λ +β) 12. Prove thatL cos 2 (π/4- λ /4)-sin4π/4- λ /4)=sin λ /2 13. (cosA-cosβ) 2 +(sinA-sinβ) 2 =4sinβ) 2 =4sin 2 A − B 2 14.if cos cos λ /3=1/2(a+1/a) show that cos λ =1/2 (a 3 +1/a 3 ) 15. 1-2sin 2 (π/4-A/2)= sinA 16. if sin ( λ +β)= k sin( λ -β), Prove that 17. if cos+cosy=1/3 and sinx+siny=1/4 prove that. x + y Tan = 3/ 4 2 18.(cosβ-cos λ ) 2 +(sin λ -sinβ) 2 λ − β =4sin2 ( ) 2 19. Sin 2 A+sin 2 B+2sinA.sinB cos(A+B)=sin 2 A(A+B) 20. sinx 2 +sin 2 ( λ +120)+sin 2 ( λ -120)=3/2 21.cos20.cos40.cos80=1/8 22. sin10.cos20.sin30.cos40-1/16
ALOK VIDYASHRAM SUMMER VACATION HOLIDAY HOMEWORK <strong>2012</strong> SCIENCE NEPALI SOCIAL STUDIES COMPUTER RELIGION & CULTURE 23. sin20,sin40,sin60.sin80-3/16 24. cos10, cos50, cos70, =r 3 /8 25. cos. Cos(60+θ). Cos (60-θ)=1/4 cos30 26. Show that: cosA+sin 2 A.cos 2 B=cos 2 B+sin 2 B.cos 2 A 27. Prove that: 2cos+1) (2cos-1) (2cos20-1)=2cos40+1) Project work on periodic table. Make two projects for the science exhibition. s_ hLjgL n]v / s07 kf/ M efg'eSt, u'?k|;fb d}gfnL, e}/j cof{n, hok[YjLaxfb'/ l;+x, dfwjk|;fb l3ld/], ljZj]Zj/k|;fb sf]O/fnf, Odfgl;+x r]dhf]ª, e"lk z]/rg, abl/gfy e6\6/fO{, eLdlglw ltjf/L, g]N;g d08]nf . v_ P;=Pn=;L k|Zgkq l6kL s'g} Ps cf}krfl/s / Ps cgf}krfl/s lr7L n]v . u_ k|Zgf]Q/, st{Jo, ho ef]ln / hok[YjLaxfb'/ l;+x kf7af6 clxn];Dd P;=Pn=;L df cfPsf ljj]rgfTds pQ/, JofVof / ;ª\lIfKt pQ/sf k|Zgx¿ l6k / Pp6f ljj]rgfTds pQ/, Pp6f ;k|;ª\u JofVof / ;ª\lIfKt pQ/ n]v . Draw a map of Nepal labeling all major rivers and highways in your scrap book. Define all type of networking device and wap using input and let, any ten. Write about different Hindu festivals we celebrate in Nepal and stick pictures of each festival in your scrap book.
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