Question

if sec theta = x + 1/x , prove that sec theta * tan theta = 2x

Answer 1

draw a triangle, label hypotenuse
\[x+\frac{1}{x}\] and "adjacent side"1, so that
\[\sec(\theta)=1+\frac{1}{x}\] then solve for the other side using pythagoras and take ratio. i didn't actually do it so let me write it on paper first, but i am fairly certain the solution will pop out

Answer 2

ok..

Answer 3

before i make fool of myself, is it
\[x+\frac{1}{x}\] or

\[\frac{x+1}{x}\]?

Answer 4

can i have the whole answer please??

Answer 5

x + 1/x

Answer 6

first one or second one?

Answer 7

first one

Answer 8

help meeeeeee

Answer 9

plz wait aravind

Answer 10

help me first

Answer 11

i am afraid i do not get 2x

Answer 12

wat do u get

Answer 13

in fact i can easily check that it is wrong by picking a value of x

Answer 14

i'll get back to you. will try working it out. thank you

Answer 15

helppppppppppp

Answer 16

pick x = 1, then x+1/x=1+1=0 and if
\[\sec(\theta)=2\]
\[\cos(\theta)=\frac{1}{2}\] and so
\[\sin(\theta)=\frac{\sqrt{3}}{2}\] and
\[\tan(\theta)=\sqrt{3}\] and finally
\[\sec(\theta)\tan(\theta)=2\times \sqrt{3}\neq 2\times 1\] so it is false