Sin square 5 plus sin square 10 plus....plus sin square 85 plus cos square 45

Asked by Interfacesystems2 | 1st Feb, 2018, 09:33: PM

Expert Answer:

begin mathsize 16px style sin squared 5 space plus space sin squared 10 thin space plus space sin squared 15 space plus space....... plus sin squared 80 plus space sin squared 85
equals sin squared left parenthesis 90 minus 5 right parenthesis thin space plus thin space sin squared left parenthesis 90 minus 10 right parenthesis plus...... plus sin squared 80 plus sin squared 85
equals cos squared 85 plus cos squared 80 plus...... plus sin squared 80 plus sin squared 85
equals cos squared 85 plus sin squared 85 plus cos squared 80 plus sin squared 80 plus........................ plus cos squared 45
equals 1 plus 1 plus.................... plus open parentheses 1 half close parentheses
equals 8 plus 1 half
equals space 17 over 2 end style

Answered by Sneha shidid | 2nd Feb, 2018, 10:28: AM