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Mathematics: Post your doubts here!

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Why dooes the direcion of tension changes in part (ii) .. plz help !!!
 

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PLZ tell me that why does the tension changes its direction in part (II) ??
 

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To find exact values of trigonometric functions such as sin and cos, which triangles are used (isosceles, equilateral or both)? And how are they used?
 
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It's not in a question. I just wanna know how to calculate the exact angles, e.g, sin 30, 60 and 45 using triangles. Hope you understood what I meant!
exact angles can be calculated from any type of triangle if the required data is given to calculate the exact angles..
 
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exact angles can be calculated from any type of triangle if the required data is given to calculate the exact angles..
Ok...so can you tell me whats the exact value of sin 30, with explanation? Sorry if am asking too many questions. It's just that trigo is a bit difficult!
 
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PLZ tell me that why does the tension changes its direction in part (II) ??
There's something called Newton's Third Law.
It's famously known as "every action has an equal and opposite reaction"
The statement means that in every interaction, there is a pair of forces acting on the two interacting objects. The size of the forces on the first object equals the size of the force on the second object.

When you are standing on the ground, on YOU, there are two forces. The earth pulls you down (weight), and the floor pushes you up (normal contact force). Note that these are NOT the two forces Newton talks about:
Action: earth pulls you. Reaction: You pull the earth.
Actions: ground pushes you up. Reaction: you push the ground down.

In simple words, when a string connects two objects A and B, there is tension in string acting on A towards B, and an opposite and equal tension acting on B towards A.
 
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There's something called Newton's Third Law.
It's famously known as "every action has an equal and opposite reaction"
The statement means that in every interaction, there is a pair of forces acting on the two interacting objects. The size of the forces on the first object equals the size of the force on the second object.

When you are standing on the ground, on YOU, there are two forces. The earth pulls you down (weight), and the floor pushes you up (normal contact force). Note that these are NOT the two forces Newton talks about:
Action: earth pulls you. Reaction: You pull the earth.
Actions: ground pushes you up. Reaction: you push the ground down.

In simple words, when a string connects two objects A and B, there is tension in string acting on A towards B, and an opposite and equal tension acting on B towards A.
Thanks !
 
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Either my mind isnt working or the marking scheme is wrong................. can anyone tell me how the acceleration of P in the question below is gsin30? (I came to the conclusion that it is g/sin30)
Capture.PNG
 
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(i) f(x) = 4, so: 6 - 4cos(0.5x) = 4
cos(0.5x) = 0.5
0.5x = π / 3 (since it says exact, no need for basic angles and stuff)
x = 2π / 3

(ii) Max = a + b = 6+4 = 10 and Min = a - b = 6 - 4 = 2
So, range: 2 <f(x)<10

(iii) The graph is going to be upside down since the cos is -ve.............. so it would be something like this: (sorry for the crappy drawing though)
Capture.PNG

(iv) The inverse is just like the normal one

Hope it helps............... :)
 
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