Question

tan theta is equal to 5 by 12 find the value of secant theta​

Answer 1

$\since \tan \theta=(Perpendicular)/(Base) ,$
$\therefore \tan \theta = 5/12 \implies Perpendicular=5k & Base=12k$
$\since h^2=p^2+b^2$
$\implies h^2=(5k)^2+(12k)^2=25k^2+144k^2=169k^2=(13k)^2$
$\implies h=13k$
$\implies \sec \theta = Hypotenuse/Base = 13k/12k=13/12.$

Answer 2

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