Mathematics: Post your doubts here!

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R=√10
a= 71.56

(√10) cos (2x - 71.57) = 2

The range in which we've to find the angle is 0<Θ<90 but we'll be needing to modify it.

0<Θ<90

multiply it by '2'.

0<2Θ<180

Subtract 71.56 from both the limits.

-71.56<2Θ<108.44

So according to this range, we'll be needing to find the angle in three quadrants; -1, 1 and 2.

(√10) cos (2Θ - 71.57) = 2
cos (2Θ - 71.57) = 0.6324
2Θ - 71.57 = 50.78

As the angle we've found is positive which in turn means that 'cos' is positive, we'll find the angle in the quadrant in which 'cos' is positive. 'Cos' is positive in the '-1' quadrant and the '1' quadrant; thus, it is quiet easy to find the value of Θ now.

'-1' quadrant:

2Θ - 71.57 = -50.78
2Θ = 20.79°
Θ = 10.4°

'1' quadrant:

2Θ - 71.57 = 50.78
2Θ = 122.35
Θ = 61.1°

Therefore, the 2 values of Θ are 10.4° and 61.1°.
'1' quadrant is (1,1) ; '-1' quadrant is (1,-1) ; what are quadrants (-1,1) and (-1,-1)?
 
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Assalamoalaikum Wr Wb!

Post your doubts here. Make sure you give the link to the question paper when posting your doubts.


May Allah give us all success in this world as well as the HereAfter...Aameen!!


And oh yeah, let me put up some links for A level Maths Notes here.

Check this out! - Nice website, with video tutorials for everything! MUST CHECK

My P1 Notes! - Only few chapters available at the moment!

Maths Notes by destined007

Some Notes for P1 and P3 - shared by hamidali391

A LEVEL MATHS TOPIC WISE NOTES

MATHS A LEVEL LECTURES

compiled pastpapers p3 and p4 - by haseebriaz

Permutations and Combinations (my explanation)- P6

Permutations and Combinations - P6

Vectors - P3

Complex No. max/min IzI and arg(z) - P3

Sketcing Argand Diagrams - P3 (click to download..shared by ffaadyy)

Range of a function. - P1

PLEASE HELP WITH PART (ii)
 

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Assalamoalaikum Wr Wb!

Post your doubts here. Make sure you give the link to the question paper when posting your doubts.


May Allah give us all success in this world as well as the HereAfter...Aameen!!

And oh yeah, let me put up some links for A level Maths Notes here.

Check this out! - Nice website, with video tutorials for everything! MUST CHECK

My P1 Notes! - Only few chapters available at the moment!

Maths Notes by destined007

Some Notes for P1 and P3 - shared by hamidali391

A LEVEL MATHS TOPIC WISE NOTES

MATHS A LEVEL LECTURES

compiled pastpapers p3 and p4 - by haseebriaz

Permutations and Combinations (my explanation)- P6

Permutations and Combinations - P6

Vectors - P3

Complex No. max/min IzI and arg(z) - P3

Sketcing Argand Diagrams - P3 (click to download..shared by ffaadyy)

Range of a function. - P1
Can you please share A level s M1 topical Past paper type wise
 
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Assalamoalaikum Wr Wb!

Post your doubts here. Make sure you give the link to the question paper when posting your doubts.


May Allah give us all success in this world as well as the HereAfter...Aameen!!

And oh yeah, let me put up some links for A level Maths Notes here.

Check this out! - Nice website, with video tutorials for everything! MUST CHECK

My P1 Notes! - Only few chapters available at the moment!

Maths Notes by destined007

Some Notes for P1 and P3 - shared by hamidali391

A LEVEL MATHS TOPIC WISE NOTES

MATHS A LEVEL LECTURES

compiled pastpapers p3 and p4 - by haseebriaz

Permutations and Combinations (my explanation)- P6

Permutations and Combinations - P6

Vectors - P3

Complex No. max/min IzI and arg(z) - P3

Sketcing Argand Diagrams - P3 (click to download..shared by ffaadyy)

Range of a function. - P1
I need notes on calculus.
 
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