IGCSE Past year papers
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- 0625 Physics
- 0653 Science
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- 0580 Mathematics
- 0606 Additional Mathematics
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9.6 trigonometric equations
ALNote, the magic 5 steps
[alpha, equal, shift trigo, take positive, decide quadrants]
Example:
Solve each of the following trigonometric equations for 0^\circ ≤ x ≤ 360^\circ
a) \sin\theta = -\frac{1}{\sqrt 2}
b) \tan \theta = \sqrt 3
c) \cos 2\theta = - \frac{\sqrt 3}{2}
Solution:
a
\sin\theta = -\frac{1}{\sqrt 2}
\alpha=\sin^{-1}(\frac{1}{\sqrt 2}),\;Q_3,\;Q_4
\alpha=45^\circ
\theta=Q_3,\;Q4
\theta=180^\circ + \alpha, \; 360^\circ - \alpha
\theta=225^\circ,\;315^\circ
b
\tan\theta=\sqrt 3
Index Rules
IGCSE 2018 Past Year Booklets available NOW
Past Year Challenge 2018W52
May/Jun 2019 IGCSE Exam:
0606/13/M/J/17
Oct/Nov 2019 IGCSE Exam:
0606/13/M/J/16
May/Jun 2020 IGCSE Exam
0606/13/M/J/14
Past Year Challenge 2018W51
May/Jun 2019 IGCSE Exam:
0606/22/M/J/17
Oct/Nov 2019 IGCSE Exam:
0606/22/M/J/16
May/Jun 2020 IGCSE Exam
0606/22/M/J/14
Past Year Challenge 2018W50
May/Jun 2019 IGCSE Exam:
0606/12/M/J/17
Oct/Nov 2019 IGCSE Exam:
0606/12/M/J/16
May/Jun 2020 IGCSE Exam
0606/12/M/J/14
Past Year Challenge 2018W49
May/Jun 2019 IGCSE Exam:
0606/21/M/J/17
Oct/Nov 2019 IGCSE Exam:
Rest
May/Jun 2020 IGCSE Exam
0606/21/M/J/14
Past Year Challenge 2018W48
May/Jun 2019 IGCSE Exam:
0606/11/M/J/17
Oct/Nov 2019 IGCSE Exam:
Rest
May/Jun 2020 IGCSE Exam
0606/11/M/J/14