Question

Evaluate: 5 sin2 30° + cos2 45° - 4 tan2 30° 2 sin30° cos30° + tan 45° brainly

Answer 1

i hope the question is,
5sin^2(30)+cos^2(45)-4tan^2(30)*2sin(30)*cos(30)+tan(45)
=5*(1/4)+(1/2)-4*(1/3)*2*(1/2)*(root3/2)+1
=(5/4)+(2/4)-(2/root3)+1
=11/4-(2*root3)/3
=
$(11 \div 4) - (2 \sqrt{3} \div 3)$
=1.595

Answer 2

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$:– \: \frac{5 {sin}^{2}30° + {cos}^{2}45° - 4 {tan}^{2}30° }{ \: \: 2sin30° - cos30° + tan45°}$

$= > \frac{5( { \frac{1}{2}) }^{2} + \frac{1}{2} - (4 \times \frac{1}{3} ) }{2 \times \frac{1}{2} \times \frac{ \sqrt{3} }{2} + 1 }$

$= > \frac{ \frac{5}{4} + \frac{1}{2} - \frac{4}{3} }{ \frac{ \sqrt{3} }{2} + 1}$

$= > \frac{ \frac{15 + 6 - 16}{12} }{ \frac{ \sqrt{3 } + 2 }{2} }$

$= > \frac{5}{12} \times \frac{2}{ \sqrt{3} + 2}$

$= > \frac{5}{6( \sqrt{3} + 2) }$

$\frac{5 {sin}^{2}30° + {cos}^{2}45° - 4 {tan}^{2}30° }{ \: \: 2sin30° - cos30° + tan45°} = \frac{5}{6( \sqrt{3} + 2) }$

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#RaPo 4eva❤️