Question

please help!!

For an acute angle x, tanxtan(x/2)

cscx-1
secx-1
secx+1

Answer 1

you know tan double angle formula ?

Answer 2

yes it is 2tan theta/1-tan^2theta!

Answer 3

correct
so
tan x = tan 2(x/2)
= ....

Answer 4

tanx tan(x/2) = 2 tan^2 (x/2) / (1+ tan^2 (x/2))

see if you get this ?

Answer 5

*****
tanx tan(x/2) = 2 tan^2 (x/2) / (1- tan^2 (x/2))

Answer 6

if you could get that, convert everything into sin and cos

Answer 7

oh okay wait let me convert it!

Answer 8

ummmm i got a really weird answer;; but i tried solving the whole thing and i got cscx-1

Answer 9

is the question really tanx tan(x/2) ??

Answer 10

yes HAHAHAHA

Answer 11

from the given choices, i think its sec x -1

Answer 12

oh okay! thank you~

Answer 13

from the simple fact that tan x tan x/2 is 0 when x =0

and only sec x - 1 becomes 0 when x = 0