Question 44

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

Solution

Expression : (1/√2 Cot 45°) + (1/√3 Cosec 60°)

= $$(\frac{1}{\sqrt2}\times1)+(\frac{1}{\sqrt3}\times\frac{2}{\sqrt3})$$

= $$\frac{1}{\sqrt2}+\frac{2}{3}$$

= $$\frac{3+2\sqrt2}{3\sqrt2}$$

=> Ans - (D)


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