Question

Which of the following are solutions to the equation tan^2(2x) - 1 = 0? Check all that apply.
a. pI/4
B. PI/2
C. -PI/8
D. 3PI/8

Answer 1

@hartnn

Answer 2

Add 1 to both sides.
then take square root., what u get ?

Answer 3

uh im not sure exactly i would assume tan 2x = 1

Answer 4

yeah, thats correct.
its just that u get bot + and - when u do square root.
so, u have
tan 2x =1 , tan 2x = -1
got this ?

Answer 5

alright i got that so far..

Answer 6

so, fir which angle, is tan ratio = 1 ?? and -1 ?

Answer 7

i just got pi/4 which is 45 degrees i believe

Answer 8

for tan 2x=1, u get 2x=pi/4, thats correct :)
so, x= .... ?
and what about tan 2x=-1 ??

Answer 9

im not sure what x is and i dunno about -1 -8/pi?

Answer 10

for tan 2x=-1
you get 3pi/8.

Answer 11

why is it that?

Answer 12

because tan 3pi/8 = -1
so, tan^2 3pi/8 = 1 and 1-1 =0

Answer 13

*sorry, tan 3pi/4 =-1

Answer 14

thats why for tan 2x=-1
you get 3pi/8.

Answer 15

also , u got -pi/8, thats correct, so u have 2 answers here..

Answer 16

doubts ?

Answer 17

i actually thought you were saying 4/pi was right so i did get it wrong lol..oops

Answer 18

i mentioned, -pi/8 is correct....and proved 3pi/8 is correct.

Answer 19

sorry for the confusion...

Answer 20

its fine