Question

cos 45 degree divided by sec 30 degree + cosec 30 degree ​

Answer 1

Step-by-step explanation:

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Answer 2

Given,

cos 45°/(sec 30° + cosec 30°)

To Find,

Find the numerical value.

Solution,

Here, we have

cos45°/(sec30° + cosec30°)

= (1/√2)/(2/√3 + 2) {since cos45° = 1/√2, sec30° = 2/√3, cosec30° = 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 + √6)

Hence, cos45°/(sec30° + cosec30°) = √3 / 2(√2 + √6).