Question

tan 60°/sin 60°+ cos 30°​

Answer 1

Answer:

$\dfrac{tan60}{sin60} + cos60 \\ \\ \\ = \dfrac{ \dfrac{sin60}{cos60} }{sin60} + cos60 \\ \\ \\ = \dfrac{1}{cos60} + cos60\\ \\ \\ = \dfrac{1}{ \frac{1}{2} } + \dfrac{1}{2} \: \: \: \: \: \: \: (value \: of \: cos60 = \dfrac{1}{2)} \\ \\ \\ = 2 + \dfrac{1}{2} \\ \\ \\ = \dfrac{5}{2}$