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2023 KSS P2 Q3
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2023 KSS P2 Q3
Secondary 4
11 marks
Given that \(A\) is an acute angle and that \(\sin A=\dfrac57\), find the exact value of \(\sin2A\).
[3]
Solve the following equations
\(\sec(2x-15^\circ)=2\) for \(0^\circ<x<180^\circ\),
[4]
\(7\sec^2A+6\tan A-23=0\) for \(0<A<\pi\).
[4]
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Answer:
(a) \(\dfrac{20\sqrt6}{49}\). (b)(i) \(37.5^\circ,157.5^\circ\). (ii) \(0.852,2.03\) radians.
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