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

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_21 Year:2020 Question No:6(a)

Answer:

Use \(\sin 2 \theta=2 \sin \theta \cos \theta\)
Obtain \(\sin \theta=\frac{1}{6}\)

Knowledge points:

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

Solution:

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