APQR, P 132°, PQ 27,2 cm and QR=73,2 cm. P. 132 27,2 cm 73,2 cm

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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Question
100%
Mathematics/P2
DBE/2013
NSC - Grade 11 Exemplar
QUESTION 7
sin A sin C
7.1
Prove that in any acute-angled AABC,
(5)
%3D
a
7.2
In APQR, P=132°, PQ 27,2 cm and QR = 73,2 cm.
P
132°
27,2 cm
73,2 cm
7.2.1
Calculate the size of R.
(3)
7.2.2
Calculate the area of APQR.
(3)
7.3
In the figure below, SPQ= a, PÔS=b and PQ = h. PQ and SR are perpendicular
to RQ.
R.
7.3.1
Determine the distance SQ in terms of a, ba nd h.
(3)
hsin a cosb
7.3.2
Hence show that RS =
sin(a + b)
(3)
[17]
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Transcribed Image Text:Mathematics/P2 DBE/2013 NSC - Grade 11 Exemplar QUESTION 7 sin A sin C 7.1 Prove that in any acute-angled AABC, (5) %3D a 7.2 In APQR, P=132°, PQ 27,2 cm and QR = 73,2 cm. P 132° 27,2 cm 73,2 cm 7.2.1 Calculate the size of R. (3) 7.2.2 Calculate the area of APQR. (3) 7.3 In the figure below, SPQ= a, PÔS=b and PQ = h. PQ and SR are perpendicular to RQ. R. 7.3.1 Determine the distance SQ in terms of a, ba nd h. (3) hsin a cosb 7.3.2 Hence show that RS = sin(a + b) (3) [17] Copyright reserved Please turn over
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9781133382119
Author:
Swokowski
Publisher:
Cengage