Simplify:
cos{A+(n-3/2)B}-cos{A+(n+3/2)B

Asked by Anil | 6th Jun, 2017, 06:04: PM

Expert Answer:

begin mathsize 16px style cos open curly brackets straight A plus open parentheses fraction numerator straight n minus 3 over denominator 2 end fraction close parentheses straight B close curly brackets minus cos open curly brackets straight A plus open parentheses fraction numerator straight n plus 3 over denominator 2 end fraction close parentheses straight B close curly brackets
equals negative 2 sin open parentheses fraction numerator straight A plus open parentheses fraction numerator straight n minus 3 over denominator 2 end fraction close parentheses straight B plus straight A plus open parentheses fraction numerator straight n plus 3 over denominator 2 end fraction close parentheses straight B over denominator 2 end fraction close parentheses sin open parentheses fraction numerator straight A plus open parentheses fraction numerator straight n minus 3 over denominator 2 end fraction close parentheses straight B minus straight A plus open parentheses fraction numerator straight n plus 3 over denominator 2 end fraction close parentheses straight B over denominator 2 end fraction close parentheses
equals negative 2 sin open parentheses straight A plus nB over 2 close parentheses sin open parentheses nB over 2 close parentheses end style

Answered by Sneha shidid | 7th Jun, 2017, 09:00: AM