2004 A-Level H2 Mathematics
Papers 1 & 28 questions8 video solutions
0 of 8 completed
Question 1Maclaurin Series and Power Series3 marks
The equation
\(x\sin x+\cos x=1.015\)
has a positive root \(\alpha \) close to zero. Use small-angle approximations for \(\sin x\) and \(\cos x\) to obtain an approximation to \(\alpha \). Give your answer correct to \(3\) significant figures.[3]
Final Answer:
\(\alpha = 0.174\) (\(3\) s.f.)