Question

Evaluate :- Sec30° +Sin30° /
Tan30+Cosec60°​

Answer 1

Question:

$\frac{sec30 \degree + sin30 \degree}{tan30 \degree + cosec30 \degree}$

Answer:

$\implies\frac{sec30 \degree + sin30 \degree}{tan30 \degree + cosec30 \degree} \\ \\ \implies \frac{ \frac{2}{ \sqrt{3} } + \frac{1}{2} }{ \frac{1}{ \sqrt{3} } + 2} \\ \\ \implies \frac{ \frac{4 + \sqrt{3} }{2 \sqrt{3} } }{ \frac{1 + 2}{ \sqrt{3} } } \\ \\ \implies \: \frac{4 + \sqrt{3} }{2 \sqrt{3} } \times \frac{ \sqrt{3} }{1 + 2} \\ \\ \implies \frac{4 + \sqrt{3} }{2} \times \frac{1}{3} \\ \\ \implies \: \frac{4 + \sqrt{3} }{6}$