Mathematics: Post your doubts here!

[MiniSacBall]

http://papers.xtremepapers.com/CIE/...AS Level/Mathematics (9709)/9709_s06_qp_1.pdf
Q2.....
Here is the mark scheme.. http://papers.xtremepapers.com/CIE/...AS Level/Mathematics (9709)/9709_s06_ms_1.pdf
Please don't copy the mark scheme i need answer step by step, how can you do:
tan(2x)=-3
2x= 180 - (tan^-1 (-3)) or 2x = 360 - (tan^-1(-3))
From where does the 360 and 180 come in.

Also can you calculate tan^2(x), in calculator, where as x has a value.
If yes how, i have fx-991 ES Plus,
Also does tan(x) * tan(x) = tan^2(x)

 

[Hadi Murtaza]

sin(2x) + 3cos(2x) = 0
sin(2x) = −3cos(2x)
sin(2x)/cos(2x) = −3
tan(2x) = − 3
≤
Now da function of tan has a period of 180° (π radians) meaning dat its value repeats after each 180° cycle.
2x = arctan(−3)
2x = −71.6°

0° ≤ x ≤ 180°
0° ≤ 2x ≤ 360°

 

[Hadi Murtaza]

2x = 360 − 71.6 , 180 − 71.6
2x = 288.4 , 108.4
x = 144.2° , 50.4°

 

[Hadi Murtaza]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s06_qp_1.pdf
Q2.....
Here is the mark scheme.. http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s06_ms_1.pdf
Please don't copy the mark scheme i need answer step by step, how can you do:
tan(2x)=-3
2x= 180 - (tan^-1 (-3)) or 2x = 360 - (tan^-1(-3))
From where does the 360 and 180 come in.

Also can you calculate tan^2(x), in calculator, where as x has a value.
If yes how, i have fx-991 ES Plus,
Also does tan(x) * tan(x) = tan^2(x)

Got it broo ? any doubts ?

 

[MiniSacBall]

Got it broo ? any doubts ?

Nope, my 2014 syllabus doesn't covers any of this thing, and if it comes again how would i be able to solve it again?

Thanks a lot!! <3

 

[Hadi Murtaza]

If u got my method then always use it, if u didnt i can explain it

 

[MiniSacBall]

If u got my method then always use it, if u didnt i can explain it

I would love a bit of explaination
you said 'Now da function of tan has a period of 180° (π radians) meaning dat its value repeats after each 180° cycle.
0° ≤ x ≤ 180°
0° ≤ 2x ≤ 360°
'
Was it not supposed to be used as
2x = 360 − 143.2 , 180 − 71.6

 

[omaaaar]

http://papers.xtremepapers.com/CIE/...AS Level/Mathematics (9709)/9709_w08_qp_1.pdf
Q2 how to prove the identity with complete steps pls as the ms does not show all the steps

 

[Hadi Murtaza]

no cuz u'r finding da same value of arctan(−3) from a different angle so u'll subtract it from da same arctan(−3)

 

[Hadi Murtaza]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w08_qp_1.pdf
Q2 how to prove the identity with complete steps pls as the ms does not show all the steps

yah bro gimme 5 mins

 

[Hadi Murtaza]

[ (1 + sinx)/cosx ] + [ cosx/(1 + sinx) ]

Take L.C.M.
[ (1 + sinx)(1 + sinx) + (cosx)(cosx) ] / cosx(1 + sinx)

Expand numerator only
[ 1 + 2sinx + sin²x + cos²x ] / cosx(1 + sinx)

Now simplify (sin²x + cos²x = 1)
(1 + 2sinx + 1) / cosx(1 + sinx)

(2 + 2sinx) / cosx(1 + sinx)

Factorize numerator
2(1 + sinx) / cosx(1 + sinx)

1 + sinx cancels
2/cosx

 

[moonangel996]

can u help me in some questions of p3 ??
plzz

yeah sure if i knew the answer

 

[Musab100]

yeah sure if i knew the answer

http://papers.xtremepapers.com/CIE/...AS Level/Mathematics (9709)/9709_w08_qp_3.pdf
Q8(iii)

 

[moonangel996]

http://papers.xtremepapers.com/CIE/...AS Level/Mathematics (9709)/9709_w08_qp_3.pdf
Q8(iii)

I will try though am nt good in this topic but i will try

 

[moonangel996]

I will try though am nt good in this topic but i will try

I told you if i knew the answer ! . sorry but I failed to get the correct answer I will ask for someone's help

 

[Hadi Murtaza]

I told you if i knew the answer ! . sorry but I failed to get the correct answer I will ask for someone's help

its so e z

 

[moonangel996]

its so e z

wooww mshallahexplain plz

 

[princeali97]

last question last part..im not getting a correct answer.:/..http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_w13_qp_11.pdf

 

[Hadi Murtaza]

wooww mshallahexplain plz

not now in a few hours

 

[moonangel996]

its so e z

I am bad in Integration and differential equations