Solve the equation $$\( \sin 2 \theta(\operatorname{cosec} \theta-\sec \theta)=1 \)$$ for $$\(0<\theta<\frac{1}{2} \pi\)$$. Give the answer correct to 3 significant figures. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_s20_qp_21 Year:2020 Question No:6(b)

Answer:

Carry out correct process to find \(\theta\) from \(\cos \left(\theta+\frac{1}{4} \pi\right)=\frac{1}{\sqrt{8}}\)
Obtain \(0.424\)

Knowledge points:

2.3.2.1 more contents
2.3.2.2 the expansions of
2.3.2.3 the formulae for sin 2A,cos 2A and tan 2A
2.3.2.4 the expression of

Solution:

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