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ICSE Class 10 Answered

 No. 1:if each of a,b andc is a positive acute angle such that sin(a+b-c)=1/2;cos (b+c-a)=1/2 and tan(c+a-b)=1;then find the values of a, band c. No.2:if a sec theta +b tan theta +c=0 and p sec theta +qtan theta +r =0 then prove that (br-qc)^2 -(pc-ar)^2=(aq-bp)^2 No. 3:sin^4 theta/a +cos^4 theta/b=1/a+b then prove that sin^8 theta/a^3 +cos^8 theta/b^3+1/(a+b)^3 NO.4: If sin x +sin^2 x=1 then find the value of cos^8 x +2cos^6 x+cos^4 x (INDEX;^2 : means to the power of)
Asked by kmondaldgms | 16 Aug, 2018, 11:37: AM
answered-by-expert Expert Answer
begin mathsize 18px style sin space open parentheses straight a plus straight b minus straight c close parentheses equals 1 half
sin space open parentheses straight a plus straight b plus straight c close parentheses equals sin open parentheses 30 to the power of straight o close parentheses
straight a plus straight b minus straight c equals 30.... left parenthesis 1 right parenthesis
cos space open parentheses straight b plus straight c minus straight a close parentheses equals 1 half
cos space open parentheses straight b plus straight c minus straight a close parentheses equals space cos space open parentheses 60 to the power of straight o close parentheses
straight b plus straight c minus straight a equals 60.... left parenthesis 2 right parenthesis
tan space left parenthesis straight c plus straight a minus straight b right parenthesis equals 1
tan space open parentheses straight c plus straight a minus straight b close parentheses equals tan space open parentheses 45 to the power of straight o close parentheses
straight c plus straight a minus straight b equals 45.... left parenthesis 3 right parenthesis
left parenthesis 1 right parenthesis plus left parenthesis 2 right parenthesis
straight b space equals space 45
left parenthesis 2 right parenthesis plus left parenthesis 3 right parenthesis
straight c space equals space 52.5
straight a space equals space 37.5 end style
Answered by Arun | 17 Aug, 2018, 10:56: AM
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