Question

the distance between origin and (tan alpha, 1) is​

Answer 1

SOLUTION :-

TO DETERMINE :-

The distance between origin and $\sf{( \tan \alpha \: , 1)}$

EVALUATION :-

Here the given points are origin ( 0,0) & $\sf{( \tan \alpha \: , 1)}$

Hence the required distance between the given two points are

$\sf{ = \bigg | \sqrt{{( \tan \alpha - 0)}^{2} +{ (1 - 0)}^{2} }\: \bigg| }$

$\sf{ = \bigg | \sqrt{{ \tan}^{2} \alpha +1 } \bigg| }$

$\sf{ = \bigg |\sqrt{{ \sec}^{2} \alpha } \bigg| }$

$= | \sec \alpha |$

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