please solve this problems

Asked by kushalnadiad | 6th Mar, 2020, 06:17: PM

Expert Answer:

cos squared straight A plus 2 sin squared straight A plus 3 cos squared straight A plus....200 space terms
equals left parenthesis cos squared straight A plus 3 cos squared straight A plus...100 space terms right parenthesis plus left parenthesis 2 sin squared straight A plus 4 sin squared straight A plus...100 space terms right parenthesis
equals cos squared straight A left parenthesis 1 plus 3 plus 5 plus... right parenthesis plus sin squared straight A left parenthesis 2 plus 4 plus 6 plus... right parenthesis
equals cos squared straight A left parenthesis 100 squared right parenthesis plus sin squared straight A left parenthesis 100 cross times 101 right parenthesis
10025 equals open parentheses cos squared straight A left parenthesis 100 right parenthesis plus sin squared straight A left parenthesis 101 right parenthesis close parentheses 100
10025 over 100 equals cos squared straight A left parenthesis 100 right parenthesis plus sin squared straight A left parenthesis 100 right parenthesis plus sin squared straight A
10025 over 100 equals 100 plus sin squared straight A
sin squared straight A equals 25 over 100
sinA equals 1 half
hence
cosA equals fraction numerator square root of 3 over denominator 2 end fraction
sin space straight A space minus space cos space straight A equals fraction numerator 1 minus square root of 3 over denominator 2 end fraction

Answered by Arun | 7th Mar, 2020, 09:40: AM