Question

What is the value of (1/√2) Cot 45° + (1/√3) Cosec 60°?

A) (√6 + 1)/√3 B) √3 C) (1 + 3√2)/√3 D) (3 + 2√2)/3√2

Answer 1

$\red{ Value \:of \: \frac{1}{\sqrt{2}} Cot 45\degree + \frac{1}{\sqrt{3}} Cosec 60\degree }\\= </p><p>\frac{1}{\sqrt{2}} \times 1 + \frac{1}{\sqrt{3}} \times \frac{2}{\sqrt{3}} \\= \frac{1}{\sqrt{2}} + \frac{2}{3} \\= \frac{3+2\sqrt{2}}{3\sqrt{2}}$

Therefore.,

$Option \: \pink { ( D ) } \: is \: correct.$

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