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LFM Pure
Reciprocal Trig & Identities
Q5
CAIE P3 2021 November — Question 5
Exam Board
CAIE
Module
P3 (Pure Mathematics 3)
Year
2021
Session
November
Topic
Reciprocal Trig & Identities
5
Show that the equation $$\cot 2 \theta + \cot \theta = 2$$ can be expressed as a quadratic equation in \(\tan \theta\).
Hence solve the equation \(\cot 2 \theta + \cot \theta = 2\), for \(0 < \theta < \pi\), giving your answers correct to 3 decimal places.
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