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The base of a triangle is divided into t...

The base of a triangle is divided into three equal parts. If `t_(1), t_(2), t_(3)` be the tangent sof the angles subtended by these parts at the opposite vertex, prove that :
`((1)/(t_(1))+ (1)/(t_(2)))((1)/(t _(2))+(1)/(t _(3)))=4(1+(1)/(t_(2)^(2)))`

Text Solution

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The correct Answer is:
`4(1+(1)/(t_(2)^(2)))=((1)/(t _(1))+ (1)/(t_(1)))((1)/(t_(2))+(1)/(t_(2)))`
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