It is given that $$\(3 \sin 2 \theta=\cos \theta\)$$ where $$\(\theta\)$$ is an angle such that $$\(0^{\circ}<\theta<90^{\circ}\)$$. Find the exact value of $$\(\cos 2 \theta\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_23 Year:2020 Question No:6(c)

Answer:

Use correct identity or identities to find value of \(\cos 2 \theta\)
Obtain \(\frac{17}{18}\) or exact equivalent

Knowledge points:

2.3.2.3 the formulae for sin 2A,cos 2A and tan 2A

Solution:

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