Hence solve the equation $$\(\sqrt{7} \sin 2 \theta+2 \cos 2 \theta=1\)$$, for $$\(0^{\circ}<\theta<180^{\circ}\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No：9709_m21_qp_32 Year：2021 Question No：5(b)
Answer:
Evaluate \(\sin ^{-1}\left(\frac{1}{\sqrt{11}}\right)\) to at least \(2
\mathrm{dp}\left(17.5484^{\circ}\right)\)
Use correct method to find a value of \(\theta\) in the interval
Obtain answer, e.g. \(62.7^{\circ}\)
Use a correct method to obtain a second answer
Obtain second answer, e.g. \(170.2^{\circ}\), and no other in the interval
\mathrm{dp}\left(17.5484^{\circ}\right)\)
Use correct method to find a value of \(\theta\) in the interval
Obtain answer, e.g. \(62.7^{\circ}\)
Use a correct method to obtain a second answer
Obtain second answer, e.g. \(170.2^{\circ}\), and no other in the interval
Knowledge points:
3.3.2.1 more contents
3.3.2.2 the expansions of
3.3.2.3 the formulae for sin 2A and tan 2A
3.3.2.4 the expression of
Solution:
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