Question #581a5

2 Answers
Apr 28, 2017

(1/9-1)/(1/9)=-819119=8

Explanation:

(tantheta+1)/tantheta=10tanθ+1tanθ=10
So tantheta=1/9tanθ=19
(1/9-1)/(1/9)=-819119=8

Apr 29, 2017

Given
tantheta+1/tantheta=10tanθ+1tanθ=10

We know

(tantheta+1/tantheta)^2-(tantheta-1/tantheta)^2=4tanthetaxx1/tantheta(tanθ+1tanθ)2(tanθ1tanθ)2=4tanθ×1tanθ

=>10^2-(tantheta-1/tantheta)^2=4102(tanθ1tanθ)2=4

=>(tantheta-1/tantheta)^2=10^2-4(tanθ1tanθ)2=1024

=>tantheta-1/tantheta=pmsqrt96=pm4sqrt6tanθ1tanθ=±96=±46