Question

5 cos 60° + 4 sin? 30° + tan2 45°
sin? 30° + cos2 45 °​

Answer 1

$5 cos \: 60 + 4 {sin}^{2} 30 + {tan}^{2} 45 + {sin}^{2} 30 + {cos}^{2} 45 \\ 5 \times \frac{1}{2} + 4 \times {( \frac{1}{2} )}^{2} + {1}^{2} + {( \frac{1}{2}) }^{2} + { (\frac{1}{ \sqrt{2} }) }^{2} \\ \frac{5}{2} + 4 \times \frac{1}{4} + 1 + \frac{1}{4} + \frac{1}{2} \\ \frac{5}{2} + 1 + 1 + \frac{1}{4} + \frac{1}{2} \\ \frac{(5 \times 2 )+(1 \times 4) + (1 \times 4) + 1 + (1 \times 2) }{4} \\ \frac{10 + 4 + 4 + 1 + 2}{4} \\ \frac{21}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ans$