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LFM Pure
Reciprocal Trig & Identities
Q3
CAIE P1 2014 June — Question 3
Exam Board
CAIE
Module
P1 (Pure Mathematics 1)
Year
2014
Session
June
Topic
Reciprocal Trig & Identities
3 The reflex angle \(\theta\) is such that \(\cos \theta = k\), where \(0 < k < 1\).
Find an expression, in terms of \(k\), for
(a) \(\sin \theta\),
(b) \(\tan \theta\).
Explain why \(\sin 2 \theta\) is negative for \(0 < k < 1\).
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