The parametric equations of a curve are i. Show that dy/dx = sin t. ii. Hence show

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The parametric equations of a curve are

i. Show that dy/dx = sin t.

ii. Hence show that the equation of the tangent to the curve at the point with parameter t is y = x sin t − tan t.

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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Question Posted: Mar 24, 2023 02:03 AM

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The parametric equations of a curve are i. Show that dy/dx = sin t. ii. Hence show

Question:

X= 1 [, y = cos³ t' tan³ t, where 0

Step by Step Answer:

i To find dydx we use the formula dydt dxdt First we find dydt y tan3 t dydt 3tan2 t sec2 t 3tan2 t1 ...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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