Question 7 AL Given that APOBDEA and APOCA are semicircles with centre O and P respectively. AP = 10 cm and LACP = 30°. APOB and ACD are straight lines. Given that sin(30°) = cos(30°)=sin(60°) = cos(60°) = / Find: a) the exact value of cosZAPC. b) the exact value of area of sector BOD in terms of . c) Find the exact value of the shaded area bounded by the arc CO, line OB, Arc BD and line DC. E
Question 7 AL Given that APOBDEA and APOCA are semicircles with centre O and P respectively. AP = 10 cm and LACP = 30°. APOB and ACD are straight lines. Given that sin(30°) = cos(30°)=sin(60°) = cos(60°) = / Find: a) the exact value of cosZAPC. b) the exact value of area of sector BOD in terms of . c) Find the exact value of the shaded area bounded by the arc CO, line OB, Arc BD and line DC. E
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 34E
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Transcribed Image Text:Question 7
A
P
B
Given that APOBDEA and APOCA are semicircles with centre O and P respectively.
AP = 10 cm and LACP = 30°. APOB and ACD are straight lines.
√√3
√√3
Given that sin(30°) =
cos(30°) = sin(60°) = cos(60°) =
.
Find:
a) the exact value of cosZAPC.
b) the exact value of area of sector BOD in terms of .
c) Find the exact value of the shaded area bounded by the
arc CO, line OB, Arc BD and line DC.
E
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