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Mathematics: Post your doubts here!

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um, thetha=a, alpha=b (because its easier to type)
3sina+2cosa=Rsin(a+b)
=Rsinacosb+Rcosasinb (compare with original eqn)
Rcosb=3 R^2cos^2= 9
Rsinb=2 R^2sin^2= 4
Add up: R^2= 9+4=13
R=3.51
sinb/cosb= 2/3
b=33.7
3.51sin(a+33.7)=1
a+33.7=16.55, 163.44
a=129.7
Thankyou! But the answer of R is slightly different
It says R=3.61 which is sqaure root of 13
so the angle comes out to be 130.2 but close enough!
For the a+33.7=16.55, 163.44 part
the question says that the range of a is : 0 < a < 180
So for : a+33.7 do you take the range as 33.7 < (a+33.7) < 213.7 ?
 
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Thankyou! But the answer of R is slightly different
It says R=3.61 which is sqaure root of 13
so the angle comes out to be 130.2 but close enough!
For the a+33.7=16.55, 163.44 part
the question says that the range of a is : 0 < a < 180
So for : a+33.7 do you take the range as 33.7 < (a+33.7) < 213.7 ?
Ah, i typed down the wrong value for R. (sorry!) But the method is correct, so just work it out again
And yes we take the initial range as 33.7 < (a+33.7) < 213.7 when we first find the inverse of sin
 
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Hey can some body help me with Q2!
It seems so easy yet I'm unable to do it :(
 

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If I get more than 65 in P1 and more than 25 in S1 What will be my grade??
Like, total is 90 if I score 65 and 25. So 90/125 * 100 is 72% will I get B or C? :/
 
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2(i)
4x^2 - 12x
4(x^2 - 3x)
4((x-3/2)^2 - 9/4)
4(x - 3/2)^2 - 9 = 1 * ( 2 * (x - 3/2))^2) - 9
-------------------> (2x - 3)^2 - 9
(ii)
4x^2 - 12x - 7 > 0
2x(2x - 7)+1(2x - 7) > 0
(2x+1)(2x-7)>0
x<-1/2 and x>7/2
Thanks for answering. ..
Although I didn't get this part "1 * ( 2*" ... where'd the 4 go? (Pardon my stupidness:p)
 
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12163041_1499766913654416_1231765713_o.jpg

Can someone please solve this question?
 
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