Question

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Answer 1

Given, cos 45/(sec 30 + cosec 30)

= (1/√2)/(2/√3 + 2)                         {since cos 45 = 1/√2, sec 30 = 2/√3, cosec 30 = 2}

= (1/√2)/{(2 + 2√3)/√3}

= (√3/√2)/(2 + 2√3)

= √3/{√2*(2 + 2√3)}

= √3/(2√2 + 2√3*√2)

= √3/(2√2 + 2√6)

So, cos 45/(sec 30 + cosec 30) = √3/(2√2 + 2√6)

#### I hope so you like my answer ####

Answer 2

Hey mate☺

$\frac{ \cos(45) }{ \sec(30 ) + \csc(30) }$

$\frac{ \frac{1}{ \sqrt{3} } }{ \frac{2}{ \sqrt{3} } + 2}$

=

$\frac{ \frac{1}{ \sqrt{3} } }{ \frac{2 + 2 \sqrt{3} }{ \sqrt{3} } }$

See the attachment ☺

Hope it helps you ☺✌✌

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