PORS is a cyclic quadrilateral, with diagonals PR and QS meeting at right angles. 3 cm R P 4 c

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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I would like to ask question d. thank you

PORS is a cyclic quadrilateral, with diagonals PR and QS meeting at right angles.
3 сm
R
P
4 cm
ZSPR= ZSQR =0 (angles subtended by the same arc). QR = 3 cm and PS= 4 cm.
a
Find RX and PX in tems of 0.
b
Find PR in terms of0.
i
State the maximum length of PR and the value of 0 for which this occurs.
ii Illustrate this situation with a suitable diagram.
d
The area, A cm?, of the cyclic quadrilateral is given by the expression
A =c +b sin 20.
Find the values of c and b.
i
ii Find the maximum value ofA and the value of 0 for which this occurs.
Transcribed Image Text:PORS is a cyclic quadrilateral, with diagonals PR and QS meeting at right angles. 3 сm R P 4 cm ZSPR= ZSQR =0 (angles subtended by the same arc). QR = 3 cm and PS= 4 cm. a Find RX and PX in tems of 0. b Find PR in terms of0. i State the maximum length of PR and the value of 0 for which this occurs. ii Illustrate this situation with a suitable diagram. d The area, A cm?, of the cyclic quadrilateral is given by the expression A =c +b sin 20. Find the values of c and b. i ii Find the maximum value ofA and the value of 0 for which this occurs.
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