Mathematics
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OpenStudy (anonymous):
could someone please check if my answer is correct
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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
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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
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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
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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
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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
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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 \[\tan^{-1} 0.6 \]
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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
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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
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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
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OpenStudy (anonymous):
now you do calculations. you know how to do it .. you do it by yourself. I am leaving this problem