Express the equation $$\(3 \cos \theta=8 \tan \theta\)$$ as a quadratic equation in $$\(\sin \theta\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No：9709_s20_qp_12 Year：2020 Question No：2(a)
Answer:
\(3 \cos \theta=8 \tan \theta \rightarrow 3 \cos \theta=\frac{8 \sin \theta}{\cos \theta}\)
\(3\left(1-\sin ^{2} \theta\right)=8 \sin \theta\)
\(3 \sin ^{2} \theta+8 \sin \theta-3=0\)
\(3\left(1-\sin ^{2} \theta\right)=8 \sin \theta\)
\(3 \sin ^{2} \theta+8 \sin \theta-3=0\)
Knowledge points:
1.5.4 use the identities
Solution:
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