Question

evaluate cos 45 /sec 30+cosec 60

Answer 1

Answer:

$\frac{cos45°}{sec30+cosec60}</p><p>=\frac{\sqrt{6}}{8}$

Explanation:

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we know that,

i) cos45° = 1/√2

ii) sec30° = 2/√3

iii ) cosec30° = 2/√3

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Now ,

Value of

$\frac{cos45°}{sec30+cosec60}$

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

$=\frac{\frac{1}{\sqrt{2}}}{\frac{4}{\sqrt{3}}}$

$= \frac{\sqrt{3}}{4\sqrt{2}}$

/*Rationalising the denominator, we get

$=\frac{\sqrt{3}\times \sqrt{2}}{4\sqrt{2}\times\sqrt{2}}$

$= \frac{\sqrt{6}}{8}$

Therefore,

$\frac{cos45°}{sec30+cosec60}</p><p>=\frac{\sqrt{6}}{8}$

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Answer 2

Answer:

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