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cs:
Exam is on this coming wednesday for Maths CIE AS level,

Can anyone explain to me question 9iii, why the find the gradient and inverse tangent?

picture attached.

Its Nov 2008 Paper 1 CIE AS level by the way.

Thank you!

Freaked12:
Gradient of a line is also defined as the tangent of the angle which a line makes with the +ve direction of x axis.
If gradient is +ve, angle made is acute and if gradient is -ve, angle made is obtuse

S.M.A.T:

--- Quote from: cs on October 07, 2010, 09:58:21 am ---Exam is on this coming wednesday for Maths CIE AS level,

Can anyone explain to me question 9iii, why the find the gradient and inverse tangent?

picture attached.

Its Nov 2008 Paper 1 CIE AS level by the way.

Thank you!

--- End quote ---
what did u mean by that ???................did u mean that when they calculate the angle why did they inverse the gradient ???

Deadly_king:

--- Quote from: cs on October 07, 2010, 09:58:21 am ---Exam is on this coming wednesday for Maths CIE AS level,

Can anyone explain to me question 9iii, why the find the gradient and inverse tangent?

picture attached.

Its Nov 2008 Paper 1 CIE AS level by the way.

Thank you!

--- End quote ---

Hmm.........you need to find the gradients so that you can find the equations of the lines of the two tangents.

Then you solve both equation simultaneously to find the point of intersection. Let R be the point of intersection.

Using the coordinates, you'll then be able to find the magnitude/length of the sides of the triangle PQR which will allow you to calculate the acute angle between the two tangents.

Hope you get me :)

S.M.A.T:
Here is a short method......no need to write whose sentences that i have written.I wrote those lines to make you understand
i hope that helps :)

DK:don't u think that your method is a bit lengthy for 4 marks ? ::)

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