Can you please solve this ? And give detail answer.
 

Asked by Varsneya Srinivas | 20th Oct, 2017, 05:20: PM

Expert Answer:

begin mathsize 16px style square root of 3 space cosec 20 degree space minus space sec 20 degree
equals fraction numerator square root of 3 over denominator sin 20 degree end fraction space minus space fraction numerator 1 over denominator cos 20 degree end fraction
equals fraction numerator square root of 3 space cos 20 degree space minus sin 20 degree space over denominator sin 20 degree space cos 20 degree end fraction
equals 2 open parentheses fraction numerator begin display style fraction numerator square root of 3 over denominator 2 end fraction end style space cos 20 degree space minus begin display style 1 half end style cross times sin 20 degree space over denominator sin 20 degree space cos 20 degree end fraction close parentheses
equals 2 open parentheses fraction numerator begin display style cos 30 degree space cos 20 degree space minus sin 30 degree cross times sin 20 degree space end style over denominator sin 20 degree space cos 20 degree space end fraction close parentheses
equals 2 cross times 2 open parentheses fraction numerator begin display style cos 50 degree space end style over denominator 2 sin 20 degree space cos 20 degree end fraction close parentheses space space space space space space space space space space space space space space space space space space space space space space space space open square brackets cosAcosB minus sinAsinB equals cos open parentheses straight A plus straight B right parenthesis close parentheses close square brackets
equals 4 cross times fraction numerator cos open parentheses 90 degree minus 40 degree close parentheses over denominator sin 40 degree end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open square brackets 2 sinAcosB equals sin 2 straight A close square brackets
equals 4 cross times fraction numerator sin 40 degree over denominator sin 40 degree end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open square brackets cos left parenthesis 90 degree minus straight theta right parenthesis equals sinθ close square brackets
equals 4 end style

Answered by Sneha shidid | 14th Dec, 2017, 05:03: PM