Find the value of cot 2 45° + sin 2 60° + tan 2 30° + \(\frac{3}{2}\) .
Answer & explanation
Correct answer: option 2
cot 2 45° + sin 2 60° + tan 2 30° + \(\frac{3}{2}\)
= (1)2 + (\(\frac{\sqrt {3}}{2}\))2 + (\(\frac{1}{\sqrt {3}}\))2 + \(\frac{3}{2}\)
= 1 + \(\frac{3}{4}\) + \(\frac{1}{3}\) + \(\frac{3}{2}\)
= \(\frac{12 + 9 + 4 + 18 }{12}\) = \(\frac{43}{12}\)