The diagram shows an isosceles triangle PQR inscribed in a circle, centre O, radius r cm PR QR and angle ORP radians Triangle PQR has an area of A cm 2 a Show that A r 2 sin 2 r 2 sin 2 cos 2 b Find the value of for which A has a stationary value and determine the nature of this stationary value R...

The below diagram shows angles in degrees but obviously the calculations would have to be done ...

The diagram shows an isosceles triangle PQR inscribed in a circle, centre O, radius r cm. PR

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The diagram shows an isosceles triangle PQR inscribed in a circle, centre O, radius r cm.

PR = QR and angle ORP = θ radians.

Triangle PQR has an area of A cm².

a. Show that A = r² sin 2θ + r² sin 2θ cos 2θ.

b. Find the value of θ for which A has a stationary value and determine the nature of this stationary value.

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

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Question Posted: Sep 02, 2021 12:51 AM

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The diagram shows an isosceles triangle PQR inscribed in a circle, centre O, radius r cm. PR

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

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