Saturday, 25 May 2013

trigonometry - Find the value tan1left(frac1sqrt2right)tan1left(fracsqrt52sqrt61+sqrt6right)



The value of tan1(12)tan1(5261+6)is equal to




  1. π6

  2. π4

  3. π3

  4. π12




tan1(12)tan1(321+6)
tan1(12)tan13+tan12
π2π3=π6



Another possibility is
tan1(12)+tan13tan12
How to solve this ?


Answer



5261+6=321+32




arctan5261+6=arctan3arctan2



arctan3=π3 and



arctan2=arccot12=π2arctan12


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