Find the value of 4/3 tan 60°+3cos30°-2sec30°-3/4cot60°

Asked by asmaatique0987 | 7th May, 2021, 04:13: PM

Expert Answer:

Consider,
4/3 tan 60°+3cos30°-2sec30°-3/4cot60°
4 over 3 open parentheses square root of 3 close parentheses plus 3 open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses minus 2 open parentheses fraction numerator 2 over denominator square root of 3 end fraction close parentheses minus 3 over 4 open parentheses fraction numerator 1 over denominator square root of 3 end fraction close parentheses
equals fraction numerator 4 over denominator square root of 3 end fraction plus fraction numerator 3 square root of 3 over denominator 2 end fraction minus fraction numerator 4 over denominator square root of 3 end fraction minus fraction numerator square root of 3 over denominator 4 end fraction
equals fraction numerator 6 square root of 3 minus square root of 3 over denominator 4 end fraction
equals fraction numerator 5 square root of 3 over denominator 4 end fraction

Answered by Renu Varma | 9th May, 2021, 09:01: PM