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What is the value of tan …

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What is the value of tan 15°
  • 1 answers

Dharmendra Kumar 8 years, 4 months ago

We can find its value as follows:-

tan15°= tan(45°-30°)

           =  {tex}{tan 45° - tan30°\over 1+tan45°tan30°}{/tex}

           =   {tex}{1- {1\over {\sqrt 3}}}\over1+1×{1\over {\sqrt 3}}{/tex}

           =  {tex}{{{\sqrt 3}-1}\over {\sqrt 3}}\over {{{\sqrt 3}+1}\over {\sqrt 3}}{/tex}

           =  {tex}{\sqrt 3}-1\over {\sqrt 3}+1{/tex}

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