\(cos45° \over{tan30°+ cot60°}\) is equal to:
\(\sqrt3 \over 2\sqrt2\)
The correct answer is Option 3 i.e. \(\sqrt3 \over 2\sqrt2\).
⇒ \(cos45° \over{tan30°+ cot60°}\)
⇒ \({1\over \sqrt2} \over{{1\over \sqrt3}+ {1\over \sqrt3}}\) = \({1\over \sqrt2} \over{{2\over \sqrt3}}\) = \(\sqrt3 \over 2\sqrt2\)
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