# 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

1 answer

###### 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

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

## Answers

Answer: √3Step-by-step explanation: [tex]\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}}[/tex]

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