Question #581a5

2 Answers
冠廷 李.
Apr 28, 2017

#(1/9-1)/(1/9)=-8#

Explanation:

#(tantheta+1)/tantheta=10#
So #tantheta=1/9#
#(1/9-1)/(1/9)=-8#

P dilip_k
Apr 29, 2017

Given
#tantheta+1/tantheta=10#

We know

#(tantheta+1/tantheta)^2-(tantheta-1/tantheta)^2=4tanthetaxx1/tantheta#

#=>10^2-(tantheta-1/tantheta)^2=4#

#=>(tantheta-1/tantheta)^2=10^2-4#

#=>tantheta-1/tantheta=pmsqrt96=pm4sqrt6#

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