Math, asked by anujkumar60, 9 months ago

cos45/sec30+cosec30​

Answers

Answered by pgadhave077
0

Answer:

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Answered by tanishasahar44
0

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)

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