Show that the equation $$\( \cot 2 \theta+\cot \theta=2 \)$$ can be expressed as a quadratic equation in $$\(\tan \theta\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No：9709_w21_qp_31 Year：2021 Question No：5(a)
Answer:
Use correct trig formulae and express equation\ in terms of \(\tan \theta\)
Obtain a correct equation in \(\tan \theta\) in any form
Reduce to \(\tan ^{2} \theta+4 \tan \theta-3=0\), or 3-term equivalent
Obtain a correct equation in \(\tan \theta\) in any form
Reduce to \(\tan ^{2} \theta+4 \tan \theta-3=0\), or 3-term equivalent
Knowledge points:
3.3.2.3 the formulae for sin 2A and tan 2A
Solution:
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