Syllabus Area: Trigonometry/Circular Measure
Formulae/Concepts Needed:
> Trigonometric Identities
> Pythagoras Theorem
> SOH - CAH - TOA
> The Sine Rule
> The Cosine Rule
> Arc Length
> Areas of Sectors
Here is the copy of the practice exercises on Trigonometry and Circular Measures. They are all taken from the Cambridge AS Level Pure Mathematics 1 past papers. The file contains ten (10) items. It contains:
- 5 items about Proving Trigonometric Identities & Solving Trigonometric Equations
- 5 items about arc lengths, areas of sectors and shaded regions
You may download the complete file on the following link:
>>> DOWNLOAD THE FILE HERE <<<
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Answer Key:
ReplyDelete1) (ii) x = 116.6 degrees and 45 degrees
2) (ii) x = 70.5 degrees and 289.5 degrees
3) theta = 131.8 degrees and 228.2 degrees
4) (ii) theta = 63.4 degrees and 71.6 degrees
5) (ii) alpha = 1.13 rad and 5.16 rad
6) (i) OB = 7.270
(ii) Perimeter = 24.4 cm
(iii) Area = 38.0 sq. cm
7) (i) k = 96/25
(ii) theta = 4/3
8) (1/2)pi r^2 sin^2theta - (1/2) r^2 (2theta) + (1/2)r^2 sin theta
9) (i) BC = sqrt2 r
(ii) Area = r^2
10) (ii) Perimeter = 4r + 2rpi; independent of theta (no theta)