Without using trigonometry table evaluate

Cot30/sec30 + cosec 30 / tan45 -

2cos0 / sin30 + cos² 45

Asked by jain75ashok | 19th Feb, 2020, 10:59: PM

Expert Answer:

Cot30/sec30 + cosec 30 / tan45 -

2cos0 / sin30 + cos² 45

 
The question which you have posted cannot be solved using without using trigonometric tables. The answer is below
 
begin mathsize 16px style fraction numerator cot 30 over denominator sec 30 end fraction plus fraction numerator cosec 30 over denominator tan 45 end fraction minus fraction numerator 2 cos 0 over denominator sin 30 end fraction plus cos squared 45 end style
 
begin mathsize 16px style equals fraction numerator square root of 3 over denominator begin display style fraction numerator 2 over denominator square root of 3 end fraction end style end fraction plus 2 minus fraction numerator 2 over denominator begin display style 1 half end style end fraction plus 2 end style
 
begin mathsize 16px style equals fraction numerator begin display style 3 end style over denominator begin display style 2 end style end fraction plus 2 minus 4 plus 2 end style
= 3/2

Answered by Sneha shidid | 25th Feb, 2020, 04:01: PM