Question

Find the exact value of the expression. Do not use a calculator. StartStartFraction tangent StartFraction pi Over 3 EndFraction OverOver 2 EndEndFraction plus StartStartFraction 1 OverOver cosecant StartFraction pi Over 3 EndFraction EndEndFraction



tangent pi/3 over 2 plus 1 over CSC pi/3

Answer 1

Answer:

  √3

Step-by-step explanation:

  $\dfrac{1}{2}\tan{\dfrac{\pi}{3}}+\dfrac{1}{\csc{\dfrac{\pi}{3}}}=\dfrac{1}{2}\tan{\dfrac{\pi}{3}}+\sin{\dfrac{\pi}{3}}\\\\=\dfrac{1}{2}\sqrt{3}+\dfrac{\sqrt{3}}{2}=\boxed{\sqrt{3}}$