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Mathematics 19 Online
OpenStudy (anonymous):

could someone please check if my answer is correct

OpenStudy (anonymous):

OpenStudy (anonymous):

my answer for question (a) is tan2x= - 120/119

OpenStudy (anonymous):

tan(x)=opposite/adjacent = 12/5

OpenStudy (anonymous):

tan2x=2tanx/1-tan^2x

OpenStudy (anonymous):

and then i plugged the value of tanx into the equation to get -120/119

OpenStudy (anonymous):

tan 2x= 12/5

OpenStudy (anonymous):

could you please explain

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

ok because there are 2 angles of x's

OpenStudy (anonymous):

so its like saying tan(x+x)= 12/5

OpenStudy (anonymous):

?

OpenStudy (anonymous):

OpenStudy (anonymous):

yeah there are two x angles so we will add them.

OpenStudy (anonymous):

ok now i see. i took both angles as x

OpenStudy (anonymous):

is your doubt clear

OpenStudy (anonymous):

thank you :)

OpenStudy (anonymous):

for question be i got two answers for tanx one was 0.6 and the other -1.5

OpenStudy (anonymous):

why do we take tanx=0.6 as the answer ?@Techworm

OpenStudy (anonymous):

(b)*

OpenStudy (anonymous):

@Techworm

OpenStudy (anonymous):

you know that x is in between 0 to 90. and tan x is always positive between 0 to 90 degrees

OpenStudy (anonymous):

because its a right angled triangle

OpenStudy (anonymous):

thanks for the explanation

OpenStudy (anonymous):

your welcome

OpenStudy (anonymous):

as for question c

OpenStudy (anonymous):

can i find x by x=tan-1(30.96 degrees)

OpenStudy (anonymous):

sorry x=tan-1(0.6)

OpenStudy (anonymous):

I dont understand this equation. can you make it in proper format

OpenStudy (anonymous):

tan(x)=0.6 from question (b)

OpenStudy (anonymous):

oh you mean \[\tan^{-1} 0.6 \]

OpenStudy (anonymous):

x=inverse tan(0.6)= 30.96 degrees

OpenStudy (anonymous):

correct

OpenStudy (anonymous):

is that how we find the length of AT?

OpenStudy (anonymous):

the length of AT = y (OPPOSITE) 5 (ADJACENT)

OpenStudy (anonymous):

tan(30.96 degrees) = y/5

OpenStudy (anonymous):

you have got tan x = 0.6; \[\tan x=0.6= \frac{ AT }{ GA }\]

OpenStudy (anonymous):

i have a question arent both angles of x's have a different value?

OpenStudy (anonymous):

\[0.6=\frac{ AT }{ 5 } \] so AT= 0.6x5 = 3

OpenStudy (anonymous):

in the textbook the answer is 3 1/3m

OpenStudy (anonymous):

then tan x value must be wrong

OpenStudy (anonymous):

we took tan x = 0.6, which is wrongly calculated i guess

OpenStudy (anonymous):

i trusted you saying that tanx = 0.6

OpenStudy (anonymous):

yes thats what i think as well

OpenStudy (anonymous):

i was wrong

OpenStudy (anonymous):

the angle of 2x = 67.38 degrees

OpenStudy (anonymous):

now you do calculations. you know how to do it .. you do it by yourself. I am leaving this problem

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