Question

Find the value of ( sin^4 30° ) + ( cos^4 60° ) - 2\3 ( sin^2 60° ) - ( cos^2 45° ) + 1/2 ( tan^2 60° )

Answer 1

${sin }^{4} 30 \: + {cos}^{4} 60 \: - \frac{2}{3} {sin}^{2} 60 \: - {cos}^{2} 45 \: + \frac{1}{2} {tan}^{2} 60$
filling values
we get
(1/2)^4 + (1/2)^4 - (2/3)( √3/2)^2 - ( 1/√2)^2 +(3)/2

1/16 + 1/16 - 1/2 - 1/2 + 3/2
1/8 - 1 + 3/2
1/8 + 1/2
5/8 answer