Question

maths 1st sum 3rd bit

Answer 1

cos²60° + sin²30°
(1/2)² + (1/2)²
= 1/4 + 1/4
= 1/2
since cos 60 = 1/2
sin 30 = 1/2

Answer 2

Hope u like my process
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we know that,

$= > \bf \: \sin(x) = \cos(90 - x)$
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So,
$= > \bf \: \cos ^{2} (60) + \sin ^{2} (30) \\ \\ = {( \cos(90 - 30) )}^{2} + \sin^{2} (30) \\ \\ = {( \sin(30)) }^{2} + {( \sin(30) )}^{2} \\ \\ = 2 {( \sin(30) )}^{2} = 2 \times {( \frac{1}{2} )}^{2} \\ \\ = \bf \underline{ \frac{1}{2} }$
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Hope this is ur required answer

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