Prove that $$$\operatorname{cosec} 2 \theta-\cot 2 \theta \equiv \tan \theta$$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s21_qp_32 Year：2021 Question No：6(a)

Answer:

Express the LHS in terms of $\cos 2 \theta$ and $\sin 2 \theta$
Use correct double angle formulae to express the LHS in terms of $\cos \theta$ and $\sin \theta$
Obtain $\tan \theta$ from correct working
Alternative method for Question 6(a)
Express the LHS in terms of $\sin 2 \theta$ and $\tan 2 \theta$
Use correct double angle formulae to express the LHS in terms of $\cos \theta$ and $\sin \theta$
Obtain $\tan \theta$ from correct working
Alternative method for Question 6(a)
Express the LHS in terms of $\sin 2 \theta$ and $\tan 2 \theta$
Use correct $t$ substitution or rearrangement of $\sin 2 \theta$ in terms of $\sec ^{2} 2
\theta$ and $\tan \theta$ to express the LHS in terms of $\tan \theta$.
Obtain $\tan \theta$ from correct working

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