Hence solve the equation $$\(\frac{1+\sin \theta}{\cos \theta}+\frac{\cos \theta}{1+\sin \theta}=\frac{3}{\sin \theta}\)$$, for $$\(0 \leqslant \theta \leqslant 2 \pi\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_s20_qp_11 Year:2020 Question No:7(b)

Answer:

\[
\frac{2}{\cos \theta}=\frac{3}{\sin \theta} \rightarrow \tan \theta=1.5
\]

\[
\theta=0.983 \text { or } 4.12
\]

(FT on second value for 1st value \(+\pi\) )

Knowledge points:

1.5.5 find all the solutions of simple trigonometrical equations lying in a specified interval (general forms of solution are not included).

Solution:

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